diff --git a/src/_cffi_src/openssl/asn1.py b/src/_cffi_src/openssl/asn1.py
index 01d6f4c..f0441ac 100644
--- a/src/_cffi_src/openssl/asn1.py
+++ b/src/_cffi_src/openssl/asn1.py
@@ -157,6 +157,7 @@
 int ASN1_STRING_set_default_mask_asc(char *);
 
 int i2d_ASN1_TYPE(ASN1_TYPE *, unsigned char **);
+ASN1_TYPE *d2i_ASN1_TYPE(ASN1_TYPE **, unsigned char **, long);
 """
 
 CUSTOMIZATIONS = """
diff --git a/src/_cffi_src/openssl/x509v3.py b/src/_cffi_src/openssl/x509v3.py
index 0f5306d..8e42b65 100644
--- a/src/_cffi_src/openssl/x509v3.py
+++ b/src/_cffi_src/openssl/x509v3.py
@@ -193,6 +193,9 @@
 NAME_CONSTRAINTS *NAME_CONSTRAINTS_new(void);
 void NAME_CONSTRAINTS_free(NAME_CONSTRAINTS *);
 
+OTHERNAME *OTHERNAME_new(void);
+void OTHERNAME_free(OTHERNAME *);
+
 void *X509V3_set_ctx_nodb(X509V3_CTX *);
 
 int i2d_GENERAL_NAMES(GENERAL_NAMES *, unsigned char **);
diff --git a/src/cryptography/hazmat/backends/openssl/backend.py b/src/cryptography/hazmat/backends/openssl/backend.py
index 7255b47..0017b1b 100644
--- a/src/cryptography/hazmat/backends/openssl/backend.py
+++ b/src/cryptography/hazmat/backends/openssl/backend.py
@@ -199,6 +199,27 @@
             )
             gn.type = backend._lib.GEN_IPADD
             gn.d.iPAddress = ipaddr
+        elif isinstance(alt_name, x509.OtherName):
+            gn = backend._lib.GENERAL_NAME_new()
+            assert gn != backend._ffi.NULL
+            other_name = backend._lib.OTHERNAME_new()
+            assert other_name != backend._ffi.NULL
+
+            type_id = backend._lib.OBJ_txt2obj(
+                alt_name.type_id.dotted_string.encode('ascii'), 1
+            )
+            assert type_id != backend._ffi.NULL
+            data = backend._ffi.new("unsigned char[]", alt_name.value)
+            data_ptr_ptr = backend._ffi.new("unsigned char **")
+            data_ptr_ptr[0] = data
+            value = backend._lib.d2i_ASN1_TYPE(
+                backend._ffi.NULL, data_ptr_ptr, len(alt_name.value)
+            )
+            assert value != backend._ffi.NULL
+            other_name.type_id = type_id
+            other_name.value = value
+            gn.type = backend._lib.GEN_OTHERNAME
+            gn.d.otherName = other_name
         else:
             raise NotImplementedError(
                 "Only DNSName and RegisteredID supported right now"
diff --git a/tests/test_x509.py b/tests/test_x509.py
index 9b6b882..fc1e793 100644
--- a/tests/test_x509.py
+++ b/tests/test_x509.py
@@ -1004,6 +1004,10 @@
                 ])),
                 x509.IPAddress(ipaddress.ip_address(u"127.0.0.1")),
                 x509.IPAddress(ipaddress.ip_address(u"ff::")),
+                x509.OtherName(
+                    type_id=x509.ObjectIdentifier("1.2.3.3.3.3"),
+                    value=b"0\x03\x02\x01\x05"
+                ),
             ]),
             critical=False,
         ).sign(private_key, hashes.SHA256(), backend)
@@ -1026,6 +1030,10 @@
             ])),
             x509.IPAddress(ipaddress.ip_address(u"127.0.0.1")),
             x509.IPAddress(ipaddress.ip_address(u"ff::")),
+            x509.OtherName(
+                type_id=x509.ObjectIdentifier("1.2.3.3.3.3"),
+                value=b"0\x03\x02\x01\x05"
+            ),
         ]
 
     def test_subject_alt_name_unsupported_general_name(self, backend):