diff --git a/Modules/_ssl.c b/Modules/_ssl.c
--- a/Modules/_ssl.c
+++ b/Modules/_ssl.c
@@ -2059,6 +2059,18 @@ context_new(PyTypeObject *type, PyObject
         options |= SSL_OP_NO_SSLv2;
     SSL_CTX_set_options(self->ctx, options);
 
+#ifndef OPENSSL_NO_ECDH
+    /* Allow automatic ECDH curve selection (on OpenSSL 1.0.2+), or use
+       prime256v1 by default.  This is Apache mod_ssl's initialization
+       policy, so we should be safe. */
+#if defined(SSL_CTX_set_ecdh_auto)
+    SSL_CTX_set_ecdh_auto(self->ctx, 1);
+#else
+    SSL_CTX_set_tmp_ecdh(self->ctx,
+                         EC_KEY_new_by_curve_name(NID_X9_62_prime256v1));
+#endif
+#endif
+
 #define SID_CTX "Python"
     SSL_CTX_set_session_id_context(self->ctx, (const unsigned char *) SID_CTX,
                                    sizeof(SID_CTX));