diff --git a/pkg/remote/trans/nphttp2/client_conn.go b/pkg/remote/trans/nphttp2/client_conn.go
index 34929daa2a..f61f10c5c7 100644
--- a/pkg/remote/trans/nphttp2/client_conn.go
+++ b/pkg/remote/trans/nphttp2/client_conn.go
@@ -25,6 +25,7 @@ import (
 	"strings"
 	"time"
 
+	"github.com/cloudwego/kitex/pkg/gofunc"
 	"github.com/cloudwego/kitex/pkg/remote"
 	"github.com/cloudwego/kitex/pkg/remote/trans/nphttp2/codes"
 	"github.com/cloudwego/kitex/pkg/remote/trans/nphttp2/grpc"
@@ -100,6 +101,32 @@ func newClientConn(ctx context.Context, tr grpc.ClientTransport, addr string) (*
 	if err != nil {
 		return nil, err
 	}
+	// gRPC unary do not need to monitor the stream ctx and transport ctx
+	// since it must invoke stream.Recv which would inspect the stream.ctx
+	if isStreaming {
+		gofunc.GoFunc(ctx, func() {
+			sCtx := s.Context()
+			select {
+			// For these scenarios, stream.ctx would be canceled:
+			// 1. user invoke cancel()
+			// 2. parent stream is done
+			case <-sCtx.Done():
+				tr.CloseStream(s, grpc.ContextErr(sCtx.Err()))
+				return
+			// when http2Client.closeStream is called, stream.Done() would be closed.
+			// Important: http2Client.closeStream would not lead to stream.ctx canceled.
+			case <-s.Done():
+				// since stream is closed, we just exit without doing anything
+				return
+			// For now, t.ctx would not be canceled.
+			// Pls check pkg/remote/trans/nphttp2/conn_pool for details.
+			case <-tr.Error():
+				tr.CloseStream(s, grpc.ErrConnClosing)
+				return
+			}
+		})
+	}
+
 	return &clientConn{
 		tr:   tr,
 		s:    s,