diff --git a/tests/hazmat/primitives/test_X963_vectors.py b/tests/hazmat/primitives/test_X963_vectors.py
new file mode 100644
index 0000000..14bcff4
--- /dev/null
+++ b/tests/hazmat/primitives/test_X963_vectors.py
@@ -0,0 +1,72 @@
+# This file is dual licensed under the terms of the Apache License, Version
+# 2.0, and the BSD License. See the LICENSE file in the root of this repository
+# for complete details.
+
+from __future__ import absolute_import, division, print_function
+
+import binascii
+import os
+
+import pytest
+
+from cryptography import utils
+from cryptography.hazmat.backends import default_backend
+from cryptography.hazmat.backends.interfaces import HashBackend
+from cryptography.hazmat.primitives import hashes
+from cryptography.hazmat.primitives.kdf.x963kdf import X963KDF
+
+from ...utils import load_vectors_from_file, load_x963_vectors
+
+
+@utils.register_interface(hashes.HashAlgorithm)
+class UnsupportedDummyHash(object):
+    name = "unsupported-dummy-hash"
+    block_size = None
+    digest_size = None
+
+
+def _skip_hashfn_unsupported(backend, hashfn):
+    if not backend.hash_supported(hashfn):
+        pytest.skip(
+            "Hash {0} is not supported by this backend {1}".format(
+                hashfn.name, backend
+            )
+        )
+
+
+@pytest.mark.requires_backend_interface(interface=HashBackend)
+class TestX963(object):
+    _algorithms_dict = {
+        'SHA-1': hashes.SHA1,
+        'SHA-224': hashes.SHA224,
+        'SHA-256': hashes.SHA256,
+        'SHA-384': hashes.SHA384,
+        'SHA-512': hashes.SHA512
+    }
+
+    @pytest.mark.parametrize(
+        ("vector"),
+        load_vectors_from_file(
+            os.path.join("KDF", "ansx963_2001.txt"),
+            load_x963_vectors
+        )
+    )
+    def test_x963(self, backend, vector):
+        hashfn = self._algorithms_dict[vector["hash"]]
+        _skip_hashfn_unsupported(backend, hashfn())
+
+        key = binascii.unhexlify(vector["Z"])
+        sharedinfo = None
+        if vector["SharedInfo length"] != 0:
+            sharedinfo = binascii.unhexlify(vector["SharedInfo"])
+        key_data_len = vector["key data length"] // 8
+        key_data = binascii.unhexlify(vector["key_data"])
+
+        xkdf = X963KDF(algorithm=hashfn(),
+                       length=key_data_len,
+                       sharedinfo=sharedinfo,
+                       backend=default_backend())
+        xkdf.verify(key, key_data)
+
+    def test_unsupported_hash(self, backend):
+        _skip_hashfn_unsupported(backend, UnsupportedDummyHash())