diff --git a/docs/x509/ocsp.rst b/docs/x509/ocsp.rst
index 14d9bb8..b203022 100644
--- a/docs/x509/ocsp.rst
+++ b/docs/x509/ocsp.rst
@@ -74,6 +74,7 @@
         b",\xdez\t\xbe1\x1bC\xbc\x1c*MSX\x02\x15\x00\x98\xd9\xe5\xc0\xb4\xc3"
         b"sU-\xf7|]\x0f\x1e\xb5\x12\x8eIE\xf9"
     )
+    der_ocsp_resp_unauth = b"0\x03\n\x01\x06"
 
 OCSP (Online Certificate Status Protocol) is a method of checking the
 revocation status of certificates. It is specified in :rfc:`6960`, as well
@@ -151,6 +152,26 @@
         >>> base64.b64encode(req.public_bytes(serialization.Encoding.DER))
         b'MEMwQTA/MD0wOzAJBgUrDgMCGgUABBRAC0Z68eay0wmDug1gfn5ZN0gkxAQUw5zz/NNGCDS7zkZ/oHxb8+IIy1kCAj8g'
 
+Loading Responses
+~~~~~~~~~~~~~~~~~
+
+.. function:: load_der_ocsp_response(data)
+
+    .. versionadded:: 2.4
+
+    Deserialize an OCSP response from DER encoded data.
+
+    :param bytes data: The DER encoded OCSP response data.
+
+    :returns: An instance of :class:`~cryptography.x509.ocsp.OCSPResponse`.
+
+    .. doctest::
+
+        >>> from cryptography.x509 import ocsp
+        >>> ocsp_resp = ocsp.load_der_ocsp_response(der_ocsp_resp_unauth)
+        >>> print(ocsp_resp.response_status)
+        OCSPResponseStatus.UNAUTHORIZED
+
 
 Interfaces
 ~~~~~~~~~~
diff --git a/src/cryptography/hazmat/backends/openssl/backend.py b/src/cryptography/hazmat/backends/openssl/backend.py
index 8b4792b..f374a8e 100644
--- a/src/cryptography/hazmat/backends/openssl/backend.py
+++ b/src/cryptography/hazmat/backends/openssl/backend.py
@@ -42,7 +42,9 @@
 )
 from cryptography.hazmat.backends.openssl.hashes import _HashContext
 from cryptography.hazmat.backends.openssl.hmac import _HMACContext
-from cryptography.hazmat.backends.openssl.ocsp import _OCSPRequest
+from cryptography.hazmat.backends.openssl.ocsp import (
+    _OCSPRequest, _OCSPResponse
+)
 from cryptography.hazmat.backends.openssl.rsa import (
     _RSAPrivateKey, _RSAPublicKey
 )
@@ -1441,6 +1443,16 @@
         request = self._ffi.gc(request, self._lib.OCSP_REQUEST_free)
         return _OCSPRequest(self, request)
 
+    def load_der_ocsp_response(self, data):
+        mem_bio = self._bytes_to_bio(data)
+        response = self._lib.d2i_OCSP_RESPONSE_bio(mem_bio.bio, self._ffi.NULL)
+        if response == self._ffi.NULL:
+            self._consume_errors()
+            raise ValueError("Unable to load OCSP response")
+
+        response = self._ffi.gc(response, self._lib.OCSP_RESPONSE_free)
+        return _OCSPResponse(self, response)
+
     def create_ocsp_request(self, builder):
         ocsp_req = self._lib.OCSP_REQUEST_new()
         self.openssl_assert(ocsp_req != self._ffi.NULL)
diff --git a/src/cryptography/hazmat/backends/openssl/ocsp.py b/src/cryptography/hazmat/backends/openssl/ocsp.py
index 420d7eb..f3f18cb 100644
--- a/src/cryptography/hazmat/backends/openssl/ocsp.py
+++ b/src/cryptography/hazmat/backends/openssl/ocsp.py
@@ -4,13 +4,35 @@
 
 from __future__ import absolute_import, division, print_function
 
-from cryptography import utils
+import functools
+
+from cryptography import utils, x509
 from cryptography.exceptions import UnsupportedAlgorithm
 from cryptography.hazmat.backends.openssl.decode_asn1 import (
-    _OCSP_REQ_EXT_PARSER, _asn1_integer_to_int, _asn1_string_to_bytes, _obj2txt
+    _CRL_ENTRY_REASON_CODE_TO_ENUM, _OCSP_REQ_EXT_PARSER, _asn1_integer_to_int,
+    _asn1_string_to_bytes, _decode_x509_name, _obj2txt,
+    _parse_asn1_generalized_time,
 )
+from cryptography.hazmat.backends.openssl.x509 import _Certificate
 from cryptography.hazmat.primitives import serialization
-from cryptography.x509.ocsp import OCSPRequest, _OIDS_TO_HASH
+from cryptography.x509.ocsp import (
+    OCSPCertStatus, OCSPRequest, OCSPResponse, OCSPResponseStatus,
+    _CERT_STATUS_TO_ENUM, _OIDS_TO_HASH, _RESPONSE_STATUS_TO_ENUM,
+)
+
+
+def _requires_successful_response(func):
+    @functools.wraps(func)
+    def wrapper(self, *args):
+        if self.response_status != OCSPResponseStatus.SUCCESSFUL:
+            raise ValueError(
+                "OCSP response status is not successful so the property "
+                "has no value"
+            )
+        else:
+            return func(self, *args)
+
+    return wrapper
 
 
 def _issuer_key_hash(backend, cert_id):
@@ -63,6 +85,222 @@
         )
 
 
+@utils.register_interface(OCSPResponse)
+class _OCSPResponse(object):
+    def __init__(self, backend, ocsp_response):
+        self._backend = backend
+        self._ocsp_response = ocsp_response
+        status = self._backend._lib.OCSP_response_status(self._ocsp_response)
+        self._backend.openssl_assert(status in _RESPONSE_STATUS_TO_ENUM)
+        self._status = _RESPONSE_STATUS_TO_ENUM[status]
+        if self._status is OCSPResponseStatus.SUCCESSFUL:
+            basic = self._backend._lib.OCSP_response_get1_basic(
+                self._ocsp_response
+            )
+            self._backend.openssl_assert(basic != self._backend._ffi.NULL)
+            self._basic = self._backend._ffi.gc(
+                basic, self._backend._lib.OCSP_BASICRESP_free
+            )
+            self._backend.openssl_assert(
+                self._backend._lib.OCSP_resp_count(self._basic) == 1
+            )
+            self._single = self._backend._lib.OCSP_resp_get0(self._basic, 0)
+            self._backend.openssl_assert(
+                self._single != self._backend._ffi.NULL
+            )
+            self._cert_id = self._backend._lib.OCSP_SINGLERESP_get0_id(
+                self._single
+            )
+            self._backend.openssl_assert(
+                self._cert_id != self._backend._ffi.NULL
+            )
+
+    response_status = utils.read_only_property("_status")
+
+    @property
+    @_requires_successful_response
+    def signature_algorithm_oid(self):
+        alg = self._backend._lib.OCSP_resp_get0_tbs_sigalg(self._basic)
+        self._backend.openssl_assert(alg != self._backend._ffi.NULL)
+        oid = _obj2txt(self._backend, alg.algorithm)
+        return x509.ObjectIdentifier(oid)
+
+    @property
+    @_requires_successful_response
+    def signature(self):
+        sig = self._backend._lib.OCSP_resp_get0_signature(self._basic)
+        self._backend.openssl_assert(sig != self._backend._ffi.NULL)
+        return _asn1_string_to_bytes(self._backend, sig)
+
+    @property
+    @_requires_successful_response
+    def tbs_response_bytes(self):
+        respdata = self._backend._lib.OCSP_resp_get0_respdata(self._basic)
+        self._backend.openssl_assert(respdata != self._backend._ffi.NULL)
+        pp = self._backend._ffi.new("unsigned char **")
+        res = self._backend._lib.i2d_OCSP_RESPDATA(respdata, pp)
+        self._backend.openssl_assert(pp[0] != self._backend._ffi.NULL)
+        pp = self._backend._ffi.gc(
+            pp, lambda pointer: self._backend._lib.OPENSSL_free(pointer[0])
+        )
+        self._backend.openssl_assert(res > 0)
+        return self._backend._ffi.buffer(pp[0], res)[:]
+
+    @property
+    @_requires_successful_response
+    def certificates(self):
+        sk_x509 = self._backend._lib.OCSP_resp_get0_certs(self._basic)
+        num = self._backend._lib.sk_X509_num(sk_x509)
+        certs = []
+        for i in range(num):
+            x509 = self._backend._lib.sk_X509_value(sk_x509, i)
+            self._backend.openssl_assert(x509 != self._backend._ffi.NULL)
+            cert = _Certificate(self._backend, x509)
+            # We need to keep the OCSP response that the certificate came from
+            # alive until the Certificate object itself goes out of scope, so
+            # we give it a private reference.
+            cert._ocsp_resp = self
+            certs.append(cert)
+
+        return certs
+
+    @property
+    @_requires_successful_response
+    def responder_key_hash(self):
+        _, asn1_string = self._responder_key_name()
+        if asn1_string == self._backend._ffi.NULL:
+            return None
+        else:
+            return _asn1_string_to_bytes(self._backend, asn1_string)
+
+    @property
+    @_requires_successful_response
+    def responder_name(self):
+        x509_name, _ = self._responder_key_name()
+        if x509_name == self._backend._ffi.NULL:
+            return None
+        else:
+            return _decode_x509_name(self._backend, x509_name)
+
+    def _responder_key_name(self):
+        asn1_string = self._backend._ffi.new("ASN1_OCTET_STRING **")
+        x509_name = self._backend._ffi.new("X509_NAME **")
+        res = self._backend._lib.OCSP_resp_get0_id(
+            self._basic, asn1_string, x509_name
+        )
+        self._backend.openssl_assert(res == 1)
+        return x509_name[0], asn1_string[0]
+
+    @property
+    @_requires_successful_response
+    def produced_at(self):
+        produced_at = self._backend._lib.OCSP_resp_get0_produced_at(
+            self._basic
+        )
+        return _parse_asn1_generalized_time(self._backend, produced_at)
+
+    @property
+    @_requires_successful_response
+    def certificate_status(self):
+        status = self._backend._lib.OCSP_single_get0_status(
+            self._single,
+            self._backend._ffi.NULL,
+            self._backend._ffi.NULL,
+            self._backend._ffi.NULL,
+            self._backend._ffi.NULL,
+        )
+        self._backend.openssl_assert(status in _CERT_STATUS_TO_ENUM)
+        return _CERT_STATUS_TO_ENUM[status]
+
+    @property
+    @_requires_successful_response
+    def revocation_time(self):
+        if self.certificate_status is not OCSPCertStatus.REVOKED:
+            return None
+
+        asn1_time = self._backend._ffi.new("ASN1_GENERALIZEDTIME **")
+        self._backend._lib.OCSP_single_get0_status(
+            self._single,
+            self._backend._ffi.NULL,
+            asn1_time,
+            self._backend._ffi.NULL,
+            self._backend._ffi.NULL,
+        )
+        self._backend.openssl_assert(asn1_time[0] != self._backend._ffi.NULL)
+        return _parse_asn1_generalized_time(self._backend, asn1_time[0])
+
+    @property
+    @_requires_successful_response
+    def revocation_reason(self):
+        if self.certificate_status is not OCSPCertStatus.REVOKED:
+            return None
+
+        reason_ptr = self._backend._ffi.new("int *")
+        self._backend._lib.OCSP_single_get0_status(
+            self._single,
+            reason_ptr,
+            self._backend._ffi.NULL,
+            self._backend._ffi.NULL,
+            self._backend._ffi.NULL,
+        )
+        # If no reason is encoded OpenSSL returns -1
+        if reason_ptr[0] == -1:
+            return None
+        else:
+            self._backend.openssl_assert(
+                reason_ptr[0] in _CRL_ENTRY_REASON_CODE_TO_ENUM
+            )
+            return _CRL_ENTRY_REASON_CODE_TO_ENUM[reason_ptr[0]]
+
+    @property
+    @_requires_successful_response
+    def this_update(self):
+        asn1_time = self._backend._ffi.new("ASN1_GENERALIZEDTIME **")
+        self._backend._lib.OCSP_single_get0_status(
+            self._single,
+            self._backend._ffi.NULL,
+            self._backend._ffi.NULL,
+            asn1_time,
+            self._backend._ffi.NULL,
+        )
+        self._backend.openssl_assert(asn1_time[0] != self._backend._ffi.NULL)
+        return _parse_asn1_generalized_time(self._backend, asn1_time[0])
+
+    @property
+    @_requires_successful_response
+    def next_update(self):
+        asn1_time = self._backend._ffi.new("ASN1_GENERALIZEDTIME **")
+        self._backend._lib.OCSP_single_get0_status(
+            self._single,
+            self._backend._ffi.NULL,
+            self._backend._ffi.NULL,
+            self._backend._ffi.NULL,
+            asn1_time,
+        )
+        self._backend.openssl_assert(asn1_time[0] != self._backend._ffi.NULL)
+        return _parse_asn1_generalized_time(self._backend, asn1_time[0])
+
+    @property
+    @_requires_successful_response
+    def issuer_key_hash(self):
+        return _issuer_key_hash(self._backend, self._cert_id)
+
+    @property
+    @_requires_successful_response
+    def issuer_name_hash(self):
+        return _issuer_name_hash(self._backend, self._cert_id)
+
+    @property
+    @_requires_successful_response
+    def hash_algorithm(self):
+        return _hash_algorithm(self._backend, self._cert_id)
+
+    @property
+    @_requires_successful_response
+    def serial_number(self):
+        return _serial_number(self._backend, self._cert_id)
+
+
 @utils.register_interface(OCSPRequest)
 class _OCSPRequest(object):
     def __init__(self, backend, ocsp_request):
diff --git a/src/cryptography/x509/ocsp.py b/src/cryptography/x509/ocsp.py
index 7535a0b..7907bca 100644
--- a/src/cryptography/x509/ocsp.py
+++ b/src/cryptography/x509/ocsp.py
@@ -40,11 +40,19 @@
     UNKNOWN = 2
 
 
+_CERT_STATUS_TO_ENUM = dict((x.value, x) for x in OCSPCertStatus)
+
+
 def load_der_ocsp_request(data):
     from cryptography.hazmat.backends.openssl.backend import backend
     return backend.load_der_ocsp_request(data)
 
 
+def load_der_ocsp_response(data):
+    from cryptography.hazmat.backends.openssl.backend import backend
+    return backend.load_der_ocsp_response(data)
+
+
 class OCSPRequestBuilder(object):
     def __init__(self, request=None):
         self._request = request
diff --git a/tests/x509/test_ocsp.py b/tests/x509/test_ocsp.py
index a646f4b..aeaa6e6 100644
--- a/tests/x509/test_ocsp.py
+++ b/tests/x509/test_ocsp.py
@@ -5,6 +5,7 @@
 from __future__ import absolute_import, division, print_function
 
 import base64
+import datetime
 import os
 
 import pytest
@@ -12,6 +13,7 @@
 from cryptography import x509
 from cryptography.exceptions import UnsupportedAlgorithm
 from cryptography.hazmat.primitives import hashes, serialization
+from cryptography.hazmat.primitives.asymmetric.padding import PKCS1v15
 from cryptography.x509 import ocsp
 
 from .test_x509 import _load_cert
@@ -146,3 +148,138 @@
             b"MEMwQTA/MD0wOzAJBgUrDgMCGgUABBRAC0Z68eay0wmDug1gfn5ZN0gkxAQUw5zz"
             b"/NNGCDS7zkZ/oHxb8+IIy1kCAj8g"
         )
+
+
+class TestOCSPResponse(object):
+    def test_bad_response(self):
+        with pytest.raises(ValueError):
+            ocsp.load_der_ocsp_response(b"invalid")
+
+    def test_load_response(self):
+        resp = _load_data(
+            os.path.join("x509", "ocsp", "resp-sha256.der"),
+            ocsp.load_der_ocsp_response,
+        )
+        from cryptography.hazmat.backends.openssl.backend import backend
+        issuer = _load_cert(
+            os.path.join("x509", "letsencryptx3.pem"),
+            x509.load_pem_x509_certificate,
+            backend
+        )
+        assert resp.response_status == ocsp.OCSPResponseStatus.SUCCESSFUL
+        assert (resp.signature_algorithm_oid ==
+                x509.SignatureAlgorithmOID.RSA_WITH_SHA256)
+        assert resp.signature == base64.b64decode(
+            b"I9KUlyLV/2LbNCVu1BQphxdNlU/jBzXsPYVscPjW5E93pCrSO84GkIWoOJtqsnt"
+            b"78DLcQPnF3W24NXGzSGKlSWfXIsyoXCxnBm0mIbD5ZMnKyXEnqSR33Z9He/A+ML"
+            b"A8gbrDUipGNPosesenkKUnOtFIzEGv29hV5E6AMP2ORPVsVlTAZegPJFbbVIWc0"
+            b"rZGFCXKxijDxtUtgWzBhpBAI50JbPHi+IVuaOe4aDJLYgZ0BIBNa6bDI+rScyoy"
+            b"5U0DToV7SZn6CoJ3U19X7BHdYn6TLX0xi43eXuzBGzdHnSzmsc7r/DvkAKJm3vb"
+            b"dVECXqe/gFlXJUBcZ25jhs70MUA=="
+        )
+        assert resp.tbs_response_bytes == base64.b64decode(
+            b"MIHWoUwwSjELMAkGA1UEBhMCVVMxFjAUBgNVBAoTDUxldCdzIEVuY3J5cHQxIzA"
+            b"hBgNVBAMTGkxldCdzIEVuY3J5cHQgQXV0aG9yaXR5IFgzGA8yMDE4MDgzMDExMT"
+            b"UwMFowdTBzMEswCQYFKw4DAhoFAAQUfuZq53Kas/z4oiBkbBahLWBxCF0EFKhKa"
+            b"mMEfd265tE5t6ZFZe/zqOyhAhIDHHh6fckClQB7xfIiCztSevCAABgPMjAxODA4"
+            b"MzAxMTAwMDBaoBEYDzIwMTgwOTA2MTEwMDAwWg=="
+        )
+        issuer.public_key().verify(
+            resp.signature,
+            resp.tbs_response_bytes,
+            PKCS1v15(),
+            hashes.SHA256()
+        )
+        assert resp.certificates == []
+        assert resp.responder_key_hash is None
+        assert resp.responder_name == issuer.subject
+        assert resp.produced_at == datetime.datetime(2018, 8, 30, 11, 15)
+        assert resp.certificate_status == ocsp.OCSPCertStatus.GOOD
+        assert resp.revocation_time is None
+        assert resp.revocation_reason is None
+        assert resp.this_update == datetime.datetime(2018, 8, 30, 11, 0)
+        assert resp.next_update == datetime.datetime(2018, 9, 6, 11, 0)
+        assert resp.issuer_key_hash == (
+            b'\xa8Jjc\x04}\xdd\xba\xe6\xd19\xb7\xa6Ee\xef\xf3\xa8\xec\xa1'
+        )
+        assert resp.issuer_name_hash == (
+            b'~\xe6j\xe7r\x9a\xb3\xfc\xf8\xa2 dl\x16\xa1-`q\x08]'
+        )
+        assert isinstance(resp.hash_algorithm, hashes.SHA1)
+        assert resp.serial_number == 271024907440004808294641238224534273948400
+
+    def test_load_unauthorized(self):
+        resp = _load_data(
+            os.path.join("x509", "ocsp", "resp-unauthorized.der"),
+            ocsp.load_der_ocsp_response,
+        )
+        assert resp.response_status == ocsp.OCSPResponseStatus.UNAUTHORIZED
+        with pytest.raises(ValueError):
+            assert resp.signature_algorithm_oid
+        with pytest.raises(ValueError):
+            assert resp.signature
+        with pytest.raises(ValueError):
+            assert resp.tbs_response_bytes
+        with pytest.raises(ValueError):
+            assert resp.certificates
+        with pytest.raises(ValueError):
+            assert resp.responder_key_hash
+        with pytest.raises(ValueError):
+            assert resp.responder_name
+        with pytest.raises(ValueError):
+            assert resp.produced_at
+        with pytest.raises(ValueError):
+            assert resp.certificate_status
+        with pytest.raises(ValueError):
+            assert resp.revocation_time
+        with pytest.raises(ValueError):
+            assert resp.revocation_reason
+        with pytest.raises(ValueError):
+            assert resp.this_update
+        with pytest.raises(ValueError):
+            assert resp.next_update
+        with pytest.raises(ValueError):
+            assert resp.issuer_key_hash
+        with pytest.raises(ValueError):
+            assert resp.issuer_name_hash
+        with pytest.raises(ValueError):
+            assert resp.hash_algorithm
+        with pytest.raises(ValueError):
+            assert resp.serial_number
+
+    def test_load_revoked(self):
+        resp = _load_data(
+            os.path.join("x509", "ocsp", "resp-revoked.der"),
+            ocsp.load_der_ocsp_response,
+        )
+        assert resp.certificate_status == ocsp.OCSPCertStatus.REVOKED
+        assert resp.revocation_time == datetime.datetime(
+            2016, 9, 2, 21, 28, 48
+        )
+        assert resp.revocation_reason is None
+
+    def test_load_delegate_unknown_cert(self):
+        resp = _load_data(
+            os.path.join("x509", "ocsp", "resp-delegate-unknown-cert.der"),
+            ocsp.load_der_ocsp_response,
+        )
+        assert len(resp.certificates) == 1
+        assert isinstance(resp.certificates[0], x509.Certificate)
+        assert resp.certificate_status == ocsp.OCSPCertStatus.UNKNOWN
+
+    def test_load_responder_key_hash(self):
+        resp = _load_data(
+            os.path.join("x509", "ocsp", "resp-responder-key-hash.der"),
+            ocsp.load_der_ocsp_response,
+        )
+        assert resp.responder_name is None
+        assert resp.responder_key_hash == (
+            b'\x0f\x80a\x1c\x821a\xd5/(\xe7\x8dF8\xb4,\xe1\xc6\xd9\xe2'
+        )
+
+    def test_load_revoked_reason(self):
+        resp = _load_data(
+            os.path.join("x509", "ocsp", "resp-revoked-reason.der"),
+            ocsp.load_der_ocsp_response,
+        )
+        assert resp.revocation_reason is x509.ReasonFlags.superseded