diff --git a/src/net/http/request.go b/src/net/http/request.go
index d706d8e1b600a..d1793c75d7bfd 100644
--- a/src/net/http/request.go
+++ b/src/net/http/request.go
@@ -1121,3 +1121,24 @@ var validHostByte = [256]bool{
 	'_':  true, // unreserved
 	'~':  true, // unreserved
 }
+
+func validHeaderName(v string) bool {
+	if len(v) == 0 {
+		return false
+	}
+	return strings.IndexFunc(v, isNotToken) == -1
+}
+
+func validHeaderValue(v string) bool {
+	for i := 0; i < len(v); i++ {
+		b := v[i]
+		if b == '\t' {
+			continue
+		}
+		if ' ' <= b && b <= '~' {
+			continue
+		}
+		return false
+	}
+	return true
+}
diff --git a/src/net/http/serve_test.go b/src/net/http/serve_test.go
index 31ba06a267497..0ce492c6dd930 100644
--- a/src/net/http/serve_test.go
+++ b/src/net/http/serve_test.go
@@ -3629,6 +3629,7 @@ func testHandlerSetsBodyNil(t *testing.T, h2 bool) {
 }
 
 // Test that we validate the Host header.
+// Issue 11206 (invalid bytes in Host) and 13624 (Host present in HTTP/1.1)
 func TestServerValidatesHostHeader(t *testing.T) {
 	tests := []struct {
 		proto string
@@ -3676,6 +3677,43 @@ func TestServerValidatesHostHeader(t *testing.T) {
 	}
 }
 
+// Test that we validate the valid bytes in HTTP/1 headers.
+// Issue 11207.
+func TestServerValidatesHeaders(t *testing.T) {
+	tests := []struct {
+		header string
+		want   int
+	}{
+		{"", 200},
+		{"Foo: bar\r\n", 200},
+		{"X-Foo: bar\r\n", 200},
+		{"Foo: a space\r\n", 200},
+
+		{"A space: foo\r\n", 400},    // space in header
+		{"foo\xffbar: foo\r\n", 400}, // binary in header
+		{"foo\x00bar: foo\r\n", 400}, // binary in header
+
+		{"foo: foo\x00foo\r\n", 400}, // binary in value
+		{"foo: foo\xfffoo\r\n", 400}, // binary in value
+	}
+	for _, tt := range tests {
+		conn := &testConn{closec: make(chan bool)}
+		io.WriteString(&conn.readBuf, "GET / HTTP/1.1\r\nHost: foo\r\n"+tt.header+"\r\n")
+
+		ln := &oneConnListener{conn}
+		go Serve(ln, HandlerFunc(func(ResponseWriter, *Request) {}))
+		<-conn.closec
+		res, err := ReadResponse(bufio.NewReader(&conn.writeBuf), nil)
+		if err != nil {
+			t.Errorf("For %q, ReadResponse: %v", tt.header, res)
+			continue
+		}
+		if res.StatusCode != tt.want {
+			t.Errorf("For %q, Status = %d; want %d", tt.header, res.StatusCode, tt.want)
+		}
+	}
+}
+
 func BenchmarkClientServer(b *testing.B) {
 	b.ReportAllocs()
 	b.StopTimer()
diff --git a/src/net/http/server.go b/src/net/http/server.go
index 4f7fbae6005c1..f6428bcf18d6c 100644
--- a/src/net/http/server.go
+++ b/src/net/http/server.go
@@ -707,6 +707,16 @@ func (c *conn) readRequest() (w *response, err error) {
 	if len(hosts) == 1 && !validHostHeader(hosts[0]) {
 		return nil, badRequestError("malformed Host header")
 	}
+	for k, vv := range req.Header {
+		if !validHeaderName(k) {
+			return nil, badRequestError("invalid header name")
+		}
+		for _, v := range vv {
+			if !validHeaderValue(v) {
+				return nil, badRequestError("invalid header value")
+			}
+		}
+	}
 	delete(req.Header, "Host")
 
 	req.RemoteAddr = c.remoteAddr