diff --git a/src/ssl/handshake_client.cc b/src/ssl/handshake_client.cc
index 031ed81ff..9bd84627e 100644
--- a/src/ssl/handshake_client.cc
+++ b/src/ssl/handshake_client.cc
@@ -426,9 +426,11 @@ static ssl_early_data_reason_t should_offer_early_data(
     return ssl_early_data_disabled;
   }
 
-  if (hs->max_version < TLS1_3_VERSION) {
+  if (hs->max_version < TLS1_3_VERSION || SSL_is_dtls(ssl)) {
     // We discard inapplicable sessions, so this is redundant with the session
     // checks below, but reporting that TLS 1.3 was disabled is more useful.
+    //
+    // TODO(crbug.com/42290594): Support early data in DTLS 1.3.
     return ssl_early_data_protocol_version;
   }
 
diff --git a/src/ssl/ssl_test.cc b/src/ssl/ssl_test.cc
index 06f90f430..e31c532b6 100644
--- a/src/ssl/ssl_test.cc
+++ b/src/ssl/ssl_test.cc
@@ -1376,7 +1376,7 @@ static bssl::UniquePtr<EVP_PKEY> GetTestKey() {
 
 static bssl::UniquePtr<SSL_CTX> CreateContextWithTestCertificate(
     const SSL_METHOD *method) {
-  bssl::UniquePtr<SSL_CTX> ctx(SSL_CTX_new(TLS_method()));
+  bssl::UniquePtr<SSL_CTX> ctx(SSL_CTX_new(method));
   bssl::UniquePtr<X509> cert = GetTestCertificate();
   bssl::UniquePtr<EVP_PKEY> key = GetTestKey();
   if (!ctx || !cert || !key ||
@@ -9754,5 +9754,32 @@ TEST(SSLTest, EarlyDataVersionMismatch) {
   EXPECT_NE(SSL_get0_peer_certificates(client.get()), nullptr);
 }
 
+TEST(SSLTest, EarlyDataDisabledInDTLS13) {
+  // Set up some 0-RTT-enabled contexts.
+  bssl::UniquePtr<SSL_CTX> client_ctx(SSL_CTX_new(DTLS_method()));
+  bssl::UniquePtr<SSL_CTX> server_ctx =
+      CreateContextWithTestCertificate(DTLS_method());
+  ASSERT_TRUE(client_ctx);
+  ASSERT_TRUE(server_ctx);
+
+  SSL_CTX_set_early_data_enabled(client_ctx.get(), true);
+  SSL_CTX_set_early_data_enabled(server_ctx.get(), true);
+  SSL_CTX_set_session_cache_mode(client_ctx.get(), SSL_SESS_CACHE_BOTH);
+  SSL_CTX_set_session_cache_mode(server_ctx.get(), SSL_SESS_CACHE_BOTH);
+  ASSERT_TRUE(SSL_CTX_set_min_proto_version(client_ctx.get(),
+                                            DTLS1_3_EXPERIMENTAL_VERSION));
+  ASSERT_TRUE(SSL_CTX_set_max_proto_version(client_ctx.get(),
+                                            DTLS1_3_EXPERIMENTAL_VERSION));
+  ASSERT_TRUE(SSL_CTX_set_min_proto_version(server_ctx.get(),
+                                            DTLS1_3_EXPERIMENTAL_VERSION));
+  ASSERT_TRUE(SSL_CTX_set_max_proto_version(server_ctx.get(),
+                                            DTLS1_3_EXPERIMENTAL_VERSION));
+
+  bssl::UniquePtr<SSL_SESSION> session =
+      CreateClientSession(client_ctx.get(), server_ctx.get());
+  ASSERT_TRUE(session);
+  EXPECT_FALSE(SSL_SESSION_early_data_capable(session.get()));
+}
+
 }  // namespace
 BSSL_NAMESPACE_END
diff --git a/src/ssl/test/bssl_shim.cc b/src/ssl/test/bssl_shim.cc
index 412417818..94d529b42 100644
--- a/src/ssl/test/bssl_shim.cc
+++ b/src/ssl/test/bssl_shim.cc
@@ -660,7 +660,7 @@ static bool CheckHandshakeProperties(SSL *ssl, bool is_resume,
   }
 
   // The early data status is only applicable after the handshake is confirmed.
-  if (!SSL_in_early_data(ssl)) {
+  if (!SSL_in_early_data(ssl) && !SSL_is_dtls(ssl)) {
     if ((config->expect_accept_early_data && !SSL_early_data_accepted(ssl)) ||
         (config->expect_reject_early_data && SSL_early_data_accepted(ssl))) {
       fprintf(stderr,
@@ -679,6 +679,12 @@ static bool CheckHandshakeProperties(SSL *ssl, bool is_resume,
     }
   }
 
+  if (SSL_is_dtls(ssl) && SSL_in_early_data(ssl)) {
+    // TODO(crbug.com/42290594): Support early data for DTLS 1.3.
+    fprintf(stderr, "DTLS unexpectedly in early data\n");
+    return false;
+  }
+
   if (!config->psk.empty()) {
     if (SSL_get_peer_cert_chain(ssl) != nullptr) {
       fprintf(stderr, "Received peer certificate on a PSK cipher.\n");
diff --git a/src/ssl/test/runner/handshake_server.go b/src/ssl/test/runner/handshake_server.go
index 7ed4745f7..284831a36 100644
--- a/src/ssl/test/runner/handshake_server.go
+++ b/src/ssl/test/runner/handshake_server.go
@@ -694,6 +694,10 @@ func (hs *serverHandshakeState) doTLS13Handshake() error {
 		hs.finishedHash.addEntropy(hs.finishedHash.zeroSecret())
 	}
 
+	if hs.clientHello.hasEarlyData && c.isDTLS {
+		return errors.New("tls: early data extension received in DTLS")
+	}
+
 	hs.hello.hasKeyShare = true
 	if hs.sessionState != nil && config.Bugs.NegotiatePSKResumption {
 		hs.hello.hasKeyShare = false
diff --git a/src/ssl/test/runner/runner.go b/src/ssl/test/runner/runner.go
index 4c6590f1d..66d084909 100644
--- a/src/ssl/test/runner/runner.go
+++ b/src/ssl/test/runner/runner.go
@@ -1559,10 +1559,15 @@ func runTest(dispatcher *shimDispatcher, statusChan chan statusMsg, test *testCa
 				resumeConfig.MaxEarlyDataSize = 16384
 			}
 
-			// Configure the shim to send some data in early data.
-			flags = append(flags, "-on-resume-shim-writes-first")
-			if resumeConfig.Bugs.ExpectEarlyData == nil {
-				resumeConfig.Bugs.ExpectEarlyData = [][]byte{[]byte(shimInitialWrite)}
+			// In DTLS 1.3, we're setting flags to configure the client to attempt
+			// sending early data, but we expect it to realize that it's incapable
+			// of supporting early data and not send any.
+			if test.protocol != dtls {
+				// Configure the shim to send some data in early data.
+				flags = append(flags, "-on-resume-shim-writes-first")
+				if resumeConfig.Bugs.ExpectEarlyData == nil {
+					resumeConfig.Bugs.ExpectEarlyData = [][]byte{[]byte(shimInitialWrite)}
+				}
 			}
 		} else {
 			// By default, send some early data and expect half-RTT data response.
@@ -5236,6 +5241,21 @@ func addStateMachineCoverageTests(config stateMachineTestConfig) {
 		})
 	}
 
+	// Test that early data is disabled for DTLS 1.3.
+	if config.protocol == dtls {
+		tests = append(tests, testCase{
+			testType: clientTest,
+			protocol: dtls,
+			name: "DTLS13-EarlyData",
+			config: Config{
+				MaxVersion: VersionTLS13,
+				MinVersion: VersionTLS13,
+			},
+			resumeSession: true,
+			earlyData: true,
+		})
+	}
+
 	// TLS client auth.
 	// The following tests have a max version of 1.2, so they are not suitable
 	// for use with QUIC.
diff --git a/src/ssl/tls13_server.cc b/src/ssl/tls13_server.cc
index 65232f08c..a8b0c8bd5 100644
--- a/src/ssl/tls13_server.cc
+++ b/src/ssl/tls13_server.cc
@@ -152,9 +152,12 @@ static bool add_new_session_tickets(SSL_HANDSHAKE *hs, bool *out_sent_tickets) {
       return false;
     }
     session->ticket_age_add_valid = true;
+    // TODO(crbug.com/42290594): Remove the SSL_is_dtls check once we support
+    // 0-RTT for DTLS 1.3.
     bool enable_early_data =
         ssl->enable_early_data &&
-        (!ssl->quic_method || !ssl->config->quic_early_data_context.empty());
+        (!ssl->quic_method || !ssl->config->quic_early_data_context.empty()) &&
+        !SSL_is_dtls(ssl);
     if (enable_early_data) {
       // QUIC does not use the max_early_data_size parameter and always sets it
       // to a fixed value. See RFC 9001, section 4.6.1.