diff --git a/include/openssl/ssl.h b/include/openssl/ssl.h
index 307af48d6437c4be0f63f28a50ec5c1e0b5e2434..0b9e5d7dff2f3e1c352f2b7eb77e87f7189fbec1 100644
--- a/include/openssl/ssl.h
+++ b/include/openssl/ssl.h
@@ -1836,7 +1836,7 @@ __owur const char *SSL_CIPHER_standard_name(const SSL_CIPHER *c);
 /* Sanity check of curve server selects */
 # define SSL_SECOP_CURVE_CHECK           (6 | SSL_SECOP_OTHER_CURVE)
 /* Temporary DH key */
-# define SSL_SECOP_TMP_DH                (7 | SSL_SECOP_OTHER_DH)
+# define SSL_SECOP_TMP_DH                (7 | SSL_SECOP_OTHER_PKEY)
 /* SSL/TLS version */
 # define SSL_SECOP_VERSION               (9 | SSL_SECOP_OTHER_NONE)
 /* Session tickets */
diff --git a/ssl/s3_lib.c b/ssl/s3_lib.c
index 30fcd393e69a4b8ad6019cef3678deec3cd235bc..848953a454b26af9ce1a810a7b7bd4434e411dd8 100644
--- a/ssl/s3_lib.c
+++ b/ssl/s3_lib.c
@@ -3488,21 +3488,24 @@ long ssl3_ctrl(SSL *s, int cmd, long larg, void *parg)
     case SSL_CTRL_SET_TMP_DH:
         {
             DH *dh = (DH *)parg;
+            EVP_PKEY *pkdh = NULL;
             if (dh == NULL) {
                 SSLerr(SSL_F_SSL3_CTRL, ERR_R_PASSED_NULL_PARAMETER);
                 return (ret);
             }
+            pkdh = ssl_dh_to_pkey(dh);
+            if (pkdh == NULL) {
+                SSLerr(SSL_F_SSL3_CTRL, ERR_R_MALLOC_FAILURE);
+                return 0;
+            }
             if (!ssl_security(s, SSL_SECOP_TMP_DH,
-                              DH_security_bits(dh), 0, dh)) {
+                              EVP_PKEY_security_bits(pkdh), 0, pkdh)) {
                 SSLerr(SSL_F_SSL3_CTRL, SSL_R_DH_KEY_TOO_SMALL);
-                return (ret);
+                EVP_PKEY_free(pkdh);
+                return ret;
             }
-            if ((dh = DHparams_dup(dh)) == NULL) {
-                SSLerr(SSL_F_SSL3_CTRL, ERR_R_DH_LIB);
-                return (ret);
-            }
-            DH_free(s->cert->dh_tmp);
-            s->cert->dh_tmp = dh;
+            EVP_PKEY_free(s->cert->dh_tmp);
+            s->cert->dh_tmp = pkdh;
             ret = 1;
         }
         break;
@@ -3851,27 +3854,25 @@ long ssl3_ctx_ctrl(SSL_CTX *ctx, int cmd, long larg, void *parg)
 #ifndef OPENSSL_NO_DH
     case SSL_CTRL_SET_TMP_DH:
         {
-            DH *new = NULL, *dh;
-            CERT *cert;
-
-            cert = ctx->cert;
-            dh = (DH *)parg;
-            if (!ssl_ctx_security(ctx, SSL_SECOP_TMP_DH,
-                                  DH_security_bits(dh), 0, dh)) {
-                SSLerr(SSL_F_SSL3_CTX_CTRL, SSL_R_DH_KEY_TOO_SMALL);
+            DH *dh = (DH *)parg;
+            EVP_PKEY *pkdh = NULL;
+            if (dh == NULL) {
+                SSLerr(SSL_F_SSL3_CTX_CTRL, ERR_R_PASSED_NULL_PARAMETER);
                 return 0;
             }
-            if ((new = DHparams_dup(dh)) == NULL) {
-                SSLerr(SSL_F_SSL3_CTX_CTRL, ERR_R_DH_LIB);
+            pkdh = ssl_dh_to_pkey(dh);
+            if (pkdh == NULL) {
+                SSLerr(SSL_F_SSL3_CTX_CTRL, ERR_R_MALLOC_FAILURE);
                 return 0;
             }
-            if (!DH_generate_key(new)) {
-                SSLerr(SSL_F_SSL3_CTX_CTRL, ERR_R_DH_LIB);
-                DH_free(new);
-                return 0;
+            if (!ssl_ctx_security(ctx, SSL_SECOP_TMP_DH,
+                                  EVP_PKEY_security_bits(pkdh), 0, pkdh)) {
+                SSLerr(SSL_F_SSL3_CTX_CTRL, SSL_R_DH_KEY_TOO_SMALL);
+                EVP_PKEY_free(pkdh);
+                return 1;
             }
-            DH_free(cert->dh_tmp);
-            cert->dh_tmp = new;
+            EVP_PKEY_free(ctx->cert->dh_tmp);
+            ctx->cert->dh_tmp = pkdh;
             return 1;
         }
         /*
diff --git a/ssl/ssl_cert.c b/ssl/ssl_cert.c
index 41e34ce1d826cc4edbdda4c8b01e6fbf1a84d9e6..f01d3a783505d6a71e728d8253f797caed795e20 100644
--- a/ssl/ssl_cert.c
+++ b/ssl/ssl_cert.c
@@ -197,27 +197,8 @@ CERT *ssl_cert_dup(CERT *cert)
 
 #ifndef OPENSSL_NO_DH
     if (cert->dh_tmp != NULL) {
-        ret->dh_tmp = DHparams_dup(cert->dh_tmp);
-        if (ret->dh_tmp == NULL) {
-            SSLerr(SSL_F_SSL_CERT_DUP, ERR_R_DH_LIB);
-            goto err;
-        }
-        if (cert->dh_tmp->priv_key) {
-            BIGNUM *b = BN_dup(cert->dh_tmp->priv_key);
-            if (!b) {
-                SSLerr(SSL_F_SSL_CERT_DUP, ERR_R_BN_LIB);
-                goto err;
-            }
-            ret->dh_tmp->priv_key = b;
-        }
-        if (cert->dh_tmp->pub_key) {
-            BIGNUM *b = BN_dup(cert->dh_tmp->pub_key);
-            if (!b) {
-                SSLerr(SSL_F_SSL_CERT_DUP, ERR_R_BN_LIB);
-                goto err;
-            }
-            ret->dh_tmp->pub_key = b;
-        }
+        ret->dh_tmp = cert->dh_tmp;
+        EVP_PKEY_up_ref(ret->dh_tmp);
     }
     ret->dh_tmp_cb = cert->dh_tmp_cb;
     ret->dh_tmp_auto = cert->dh_tmp_auto;
@@ -370,7 +351,7 @@ void ssl_cert_free(CERT *c)
 #endif
 
 #ifndef OPENSSL_NO_DH
-    DH_free(c->dh_tmp);
+    EVP_PKEY_free(c->dh_tmp);
 #endif
 
     ssl_cert_clear_certs(c);
diff --git a/ssl/ssl_locl.h b/ssl/ssl_locl.h
index bff20adc43869d6aad22870e2ef3b0dcb44ac646..4afb0d45ee13963f7a6a8c6a66466cd550e9eef5 100644
--- a/ssl/ssl_locl.h
+++ b/ssl/ssl_locl.h
@@ -1489,7 +1489,7 @@ typedef struct cert_st {
      */
     CERT_PKEY *key;
 # ifndef OPENSSL_NO_DH
-    DH *dh_tmp;
+    EVP_PKEY *dh_tmp;
     DH *(*dh_tmp_cb) (SSL *ssl, int is_export, int keysize);
     int dh_tmp_auto;
 # endif
diff --git a/ssl/statem/statem_srvr.c b/ssl/statem/statem_srvr.c
index abdff176f72a7356c970c4273b25a05333a63554..89f064c5f9a943ca6890614bfbcabc1a4ba702df 100644
--- a/ssl/statem/statem_srvr.c
+++ b/ssl/statem/statem_srvr.c
@@ -1714,7 +1714,7 @@ int tls_construct_server_done(SSL *s)
 int tls_construct_server_key_exchange(SSL *s)
 {
 #ifndef OPENSSL_NO_DH
-    DH *dh = NULL, *dhp;
+    EVP_PKEY *pkdh = NULL;
 #endif
 #ifndef OPENSSL_NO_EC
     unsigned char *encodedPoint = NULL;
@@ -1761,49 +1761,66 @@ int tls_construct_server_key_exchange(SSL *s)
     if (type & (SSL_kDHE | SSL_kDHEPSK)) {
         CERT *cert = s->cert;
 
+        EVP_PKEY *pkdhp = NULL;
+        DH *dh;
+
         if (s->cert->dh_tmp_auto) {
-            dhp = ssl_get_auto_dh(s);
-            if (dhp == NULL) {
+            DH *dhp = ssl_get_auto_dh(s);
+            pkdh = EVP_PKEY_new();
+            if (pkdh == NULL || dhp == NULL) {
+                DH_free(dhp);
                 al = SSL_AD_INTERNAL_ERROR;
                 SSLerr(SSL_F_TLS_CONSTRUCT_SERVER_KEY_EXCHANGE,
                        ERR_R_INTERNAL_ERROR);
                 goto f_err;
             }
-        } else
-            dhp = cert->dh_tmp;
-        if ((dhp == NULL) && (s->cert->dh_tmp_cb != NULL))
-            dhp = s->cert->dh_tmp_cb(s, 0, 1024);
-        if (dhp == NULL) {
+            EVP_PKEY_assign_DH(pkdh, dhp);
+            pkdhp = pkdh;
+        } else {
+            pkdhp = cert->dh_tmp;
+        }
+        if ((pkdhp == NULL) && (s->cert->dh_tmp_cb != NULL)) {
+            DH *dhp = s->cert->dh_tmp_cb(s, 0, 1024);
+            pkdh = ssl_dh_to_pkey(dhp);
+            if (pkdh == NULL) {
+                al = SSL_AD_INTERNAL_ERROR;
+                SSLerr(SSL_F_TLS_CONSTRUCT_SERVER_KEY_EXCHANGE,
+                       ERR_R_INTERNAL_ERROR);
+                goto f_err;
+            }
+            pkdhp = pkdh;
+        }
+        if (pkdhp == NULL) {
             al = SSL_AD_HANDSHAKE_FAILURE;
             SSLerr(SSL_F_TLS_CONSTRUCT_SERVER_KEY_EXCHANGE,
                    SSL_R_MISSING_TMP_DH_KEY);
             goto f_err;
         }
         if (!ssl_security(s, SSL_SECOP_TMP_DH,
-                          DH_security_bits(dhp), 0, dhp)) {
+                          EVP_PKEY_security_bits(pkdhp), 0, pkdhp)) {
             al = SSL_AD_HANDSHAKE_FAILURE;
             SSLerr(SSL_F_TLS_CONSTRUCT_SERVER_KEY_EXCHANGE,
                    SSL_R_DH_KEY_TOO_SMALL);
             goto f_err;
         }
-        if (s->s3->tmp.dh != NULL) {
+        if (s->s3->tmp.pkey != NULL) {
             SSLerr(SSL_F_TLS_CONSTRUCT_SERVER_KEY_EXCHANGE,
                    ERR_R_INTERNAL_ERROR);
             goto err;
         }
 
-        if (s->cert->dh_tmp_auto)
-            dh = dhp;
-        else if ((dh = DHparams_dup(dhp)) == NULL) {
-            SSLerr(SSL_F_TLS_CONSTRUCT_SERVER_KEY_EXCHANGE, ERR_R_DH_LIB);
-            goto err;
-        }
+        s->s3->tmp.pkey = ssl_generate_pkey(pkdhp, NID_undef);
 
-        s->s3->tmp.dh = dh;
-        if (!DH_generate_key(dh)) {
-            SSLerr(SSL_F_TLS_CONSTRUCT_SERVER_KEY_EXCHANGE, ERR_R_DH_LIB);
+        if (s->s3->tmp.pkey == NULL) {
+            SSLerr(SSL_F_TLS_CONSTRUCT_SERVER_KEY_EXCHANGE, ERR_R_EVP_LIB);
             goto err;
         }
+
+        dh = EVP_PKEY_get0_DH(s->s3->tmp.pkey);
+
+        EVP_PKEY_free(pkdh);
+        pkdh = NULL;
+
         r[0] = dh->p;
         r[1] = dh->g;
         r[2] = dh->pub_key;
@@ -2018,6 +2035,9 @@ int tls_construct_server_key_exchange(SSL *s)
  f_err:
     ssl3_send_alert(s, SSL3_AL_FATAL, al);
  err:
+#ifndef OPENSSL_NO_DH
+    EVP_PKEY_free(pkdh);
+#endif
 #ifndef OPENSSL_NO_EC
     OPENSSL_free(encodedPoint);
 #endif
@@ -2107,10 +2127,6 @@ MSG_PROCESS_RETURN tls_process_client_key_exchange(SSL *s, PACKET *pkt)
     RSA *rsa = NULL;
     EVP_PKEY *pkey = NULL;
 #endif
-#ifndef OPENSSL_NO_DH
-    BIGNUM *pub = NULL;
-    DH *dh_srvr;
-#endif
 #ifndef OPENSSL_NO_EC
     EVP_PKEY *ckey = NULL;
 #endif
@@ -2334,7 +2350,8 @@ MSG_PROCESS_RETURN tls_process_client_key_exchange(SSL *s, PACKET *pkt)
 #endif
 #ifndef OPENSSL_NO_DH
     if (alg_k & (SSL_kDHE | SSL_kDHEPSK)) {
-        unsigned char shared[(OPENSSL_DH_MAX_MODULUS_BITS + 7) / 8];
+        EVP_PKEY *skey = NULL;
+        DH *cdh;
 
         if (!PACKET_get_net_2(pkt, &i)) {
             if (alg_k & (SSL_kDHE | SSL_kDHEPSK)) {
@@ -2350,13 +2367,13 @@ MSG_PROCESS_RETURN tls_process_client_key_exchange(SSL *s, PACKET *pkt)
                    SSL_R_DH_PUBLIC_VALUE_LENGTH_IS_WRONG);
             goto err;
         }
-        if (s->s3->tmp.dh == NULL) {
+        skey = s->s3->tmp.pkey;
+        if (skey == NULL) {
             al = SSL_AD_HANDSHAKE_FAILURE;
             SSLerr(SSL_F_TLS_PROCESS_CLIENT_KEY_EXCHANGE,
                    SSL_R_MISSING_TMP_DH_KEY);
             goto f_err;
-        } else
-            dh_srvr = s->s3->tmp.dh;
+        }
 
         if (PACKET_remaining(pkt) == 0L) {
             al = SSL_AD_HANDSHAKE_FAILURE;
@@ -2371,29 +2388,27 @@ MSG_PROCESS_RETURN tls_process_client_key_exchange(SSL *s, PACKET *pkt)
                    ERR_R_INTERNAL_ERROR);
             goto f_err;
         }
-        pub = BN_bin2bn(data, i, NULL);
-        if (pub == NULL) {
+        ckey = EVP_PKEY_new();
+        if (ckey == NULL || EVP_PKEY_copy_parameters(ckey, skey) == 0) {
             SSLerr(SSL_F_TLS_PROCESS_CLIENT_KEY_EXCHANGE, SSL_R_BN_LIB);
             goto err;
         }
-
-        i = DH_compute_key(shared, pub, dh_srvr);
-
-        if (i <= 0) {
-            SSLerr(SSL_F_TLS_PROCESS_CLIENT_KEY_EXCHANGE, ERR_R_DH_LIB);
-            BN_clear_free(pub);
+        cdh = EVP_PKEY_get0_DH(ckey);
+        cdh->pub_key = BN_bin2bn(data, i, NULL);
+        if (cdh->pub_key == NULL) {
+            SSLerr(SSL_F_TLS_PROCESS_CLIENT_KEY_EXCHANGE, SSL_R_BN_LIB);
             goto err;
         }
 
-        DH_free(s->s3->tmp.dh);
-        s->s3->tmp.dh = NULL;
-        BN_clear_free(pub);
-        pub = NULL;
-        if (!ssl_generate_master_secret(s, shared, i, 0)) {
+        if (ssl_derive(s, skey, ckey) == 0) {
             al = SSL_AD_INTERNAL_ERROR;
             SSLerr(SSL_F_TLS_PROCESS_CLIENT_KEY_EXCHANGE, ERR_R_INTERNAL_ERROR);
             goto f_err;
         }
+
+        EVP_PKEY_free(ckey);
+        ckey = NULL;
+
     } else
 #endif