--- a/h2.t
+++ b/h2.t
@@ -26,7 +26,7 @@ select STDERR; $| = 1;
 select STDOUT; $| = 1;
 
 my $t = Test::Nginx->new()->has(qw/http http_v2 proxy rewrite charset gzip/)
-	->plan(142);
+	->plan(144);
 
 $t->write_file_expand('nginx.conf', <<'EOF');
 
@@ -298,6 +298,29 @@ is($frame->{headers}->{'x-header'}, 'X-F
 ($frame) = grep { $_->{type} eq "DATA" } @$frames;
 is($frame, undef, 'HEAD - no body');
 
+# CONNECT
+
+TODO: {
+local $TODO = 'not yet' unless $t->has_version('1.21.1');
+
+$s = Test::Nginx::HTTP2->new();
+$sid = $s->new_stream({ method => 'CONNECT' });
+$frames = $s->read(all => [{ sid => $sid, fin => 1 }]);
+
+($frame) = grep { $_->{type} eq "HEADERS" } @$frames;
+is($frame->{headers}->{':status'}, 405, 'CONNECT - not allowed');
+
+}
+
+# TRACE
+
+$s = Test::Nginx::HTTP2->new();
+$sid = $s->new_stream({ method => 'TRACE' });
+$frames = $s->read(all => [{ sid => $sid, fin => 1 }]);
+
+($frame) = grep { $_->{type} eq "HEADERS" } @$frames;
+is($frame->{headers}->{':status'}, 405, 'TRACE - not allowed');
+
 # range filter
 
 $s = Test::Nginx::HTTP2->new();

new file mode 100644
--- /dev/null
+++ b/http_method.t
@@ -0,0 +1,77 @@
+#!/usr/bin/perl
+
+# (C) Sergey Kandaurov
+# (C) Nginx, Inc.
+
+# Tests for HTTP methods.
+
+###############################################################################
+
+use warnings;
+use strict;
+
+use Test::More;
+
+BEGIN { use FindBin; chdir($FindBin::Bin); }
+
+use lib 'lib';
+use Test::Nginx;
+
+###############################################################################
+
+select STDERR; $| = 1;
+select STDOUT; $| = 1;
+
+my $t = Test::Nginx->new()->has(qw/http rewrite/)->plan(2)
+	->write_file_expand('nginx.conf', <<'EOF')->run();
+
+%%TEST_GLOBALS%%
+
+daemon off;
+
+events {
+}
+
+http {
+    %%TEST_GLOBALS_HTTP%%
+
+    server {
+        listen       127.0.0.1:8080;
+        server_name  localhost;
+
+        location / {
+            return 200;
+        }
+    }
+}
+
+EOF
+
+###############################################################################
+
+like(http(<<EOF), qr/405 Not Allowed(?!.*200 OK)/s, 'trace');
+TRACE / HTTP/1.1
+Host: localhost
+
+GET / HTTP/1.1
+Host: localhost
+Connection: close
+
+EOF
+
+TODO: {
+local $TODO = 'not yet' unless $t->has_version('1.21.1');
+
+like(http(<<EOF), qr/405 Not Allowed(?!.*200 OK)/s, 'connect');
+CONNECT / HTTP/1.1
+Host: localhost
+
+GET / HTTP/1.1
+Host: localhost
+Connection: close
+
+EOF
+
+}
+
+###############################################################################