diff --git a/br/pkg/streamhelper/BUILD.bazel b/br/pkg/streamhelper/BUILD.bazel
index ac350fd9774b6..95d7cb0287141 100644
--- a/br/pkg/streamhelper/BUILD.bazel
+++ b/br/pkg/streamhelper/BUILD.bazel
@@ -69,7 +69,7 @@ go_test(
     ],
     flaky = True,
     race = "on",
-    shard_count = 34,
+    shard_count = 35,
     deps = [
         ":streamhelper",
         "//br/pkg/errors",
diff --git a/br/pkg/streamhelper/advancer.go b/br/pkg/streamhelper/advancer.go
index 8e8263f63fed0..dab645ddb5ed1 100644
--- a/br/pkg/streamhelper/advancer.go
+++ b/br/pkg/streamhelper/advancer.go
@@ -426,8 +426,8 @@ func (c *CheckpointAdvancer) onTaskEvent(ctx context.Context, e TaskEvent) error
 		c.setCheckpoints(spans.Sorted(spans.NewFullWith(e.Ranges, 0)))
 		globalCheckpointTs, err := c.env.GetGlobalCheckpointForTask(ctx, e.Name)
 		if err != nil {
-			log.Error("failed to get global checkpoint, skipping.", logutil.ShortError(err))
-			return err
+			// ignore the error, just log it
+			log.Warn("failed to get global checkpoint, skipping.", logutil.ShortError(err))
 		}
 		if globalCheckpointTs < c.task.StartTs {
 			globalCheckpointTs = c.task.StartTs
@@ -568,13 +568,21 @@ func (c *CheckpointAdvancer) isCheckpointLagged(ctx context.Context) (bool, erro
 	if c.cfg.CheckPointLagLimit <= 0 {
 		return false, nil
 	}
+	globalTs, err := c.env.GetGlobalCheckpointForTask(ctx, c.task.Name)
+	if err != nil {
+		return false, err
+	}
+	if globalTs < c.task.StartTs {
+		// unreachable.
+		return false, nil
+	}
 
 	now, err := c.env.FetchCurrentTS(ctx)
 	if err != nil {
 		return false, err
 	}
 
-	lagDuration := oracle.GetTimeFromTS(now).Sub(oracle.GetTimeFromTS(c.lastCheckpoint.TS))
+	lagDuration := oracle.GetTimeFromTS(now).Sub(oracle.GetTimeFromTS(globalTs))
 	if lagDuration > c.cfg.CheckPointLagLimit {
 		log.Warn("checkpoint lag is too large", zap.String("category", "log backup advancer"),
 			zap.Stringer("lag", lagDuration))
@@ -592,7 +600,8 @@ func (c *CheckpointAdvancer) importantTick(ctx context.Context) error {
 	}
 	isLagged, err := c.isCheckpointLagged(ctx)
 	if err != nil {
-		return errors.Annotate(err, "failed to check timestamp")
+		// ignore the error, just log it
+		log.Warn("failed to check timestamp", logutil.ShortError(err))
 	}
 	if isLagged {
 		err := c.env.PauseTask(ctx, c.task.Name)
@@ -657,7 +666,7 @@ func (c *CheckpointAdvancer) tick(ctx context.Context) error {
 	c.taskMu.Lock()
 	defer c.taskMu.Unlock()
 	if c.task == nil || c.isPaused.Load() {
-		log.Debug("No tasks yet, skipping advancing.")
+		log.Info("No tasks yet, skipping advancing.")
 		return nil
 	}
 
diff --git a/br/pkg/streamhelper/advancer_test.go b/br/pkg/streamhelper/advancer_test.go
index e4d83c682f789..37aa697e67791 100644
--- a/br/pkg/streamhelper/advancer_test.go
+++ b/br/pkg/streamhelper/advancer_test.go
@@ -6,7 +6,6 @@ import (
 	"bytes"
 	"context"
 	"fmt"
-	"strings"
 	"sync"
 	"testing"
 	"time"
@@ -518,6 +517,85 @@ func TestEnableCheckPointLimit(t *testing.T) {
 	}
 }
 
+func TestOwnerChangeCheckPointLagged(t *testing.T) {
+	c := createFakeCluster(t, 4, false)
+	defer func() {
+		fmt.Println(c)
+	}()
+	c.splitAndScatter("01", "02", "022", "023", "033", "04", "043")
+	ctx, cancel := context.WithCancel(context.Background())
+	defer cancel()
+
+	env := newTestEnv(c, t)
+	rngs := env.ranges
+	if len(rngs) == 0 {
+		rngs = []kv.KeyRange{{}}
+	}
+	env.task = streamhelper.TaskEvent{
+		Type: streamhelper.EventAdd,
+		Name: "whole",
+		Info: &backup.StreamBackupTaskInfo{
+			Name:    "whole",
+			StartTs: oracle.GoTimeToTS(oracle.GetTimeFromTS(0).Add(1 * time.Minute)),
+		},
+		Ranges: rngs,
+	}
+
+	adv := streamhelper.NewCheckpointAdvancer(env)
+	adv.UpdateConfigWith(func(c *config.Config) {
+		c.CheckPointLagLimit = 1 * time.Minute
+	})
+	ctx1, cancel1 := context.WithCancel(context.Background())
+	adv.OnStart(ctx1)
+	adv.OnBecomeOwner(ctx1)
+	log.Info("advancer1 become owner")
+	require.NoError(t, adv.OnTick(ctx1))
+
+	// another advancer but never advance checkpoint before
+	adv2 := streamhelper.NewCheckpointAdvancer(env)
+	adv2.UpdateConfigWith(func(c *config.Config) {
+		c.CheckPointLagLimit = 1 * time.Minute
+	})
+	ctx2, cancel2 := context.WithCancel(context.Background())
+	adv2.OnStart(ctx2)
+
+	for i := 0; i < 5; i++ {
+		c.advanceClusterTimeBy(2 * time.Minute)
+		c.advanceCheckpointBy(2 * time.Minute)
+		require.NoError(t, adv.OnTick(ctx1))
+	}
+	c.advanceClusterTimeBy(2 * time.Minute)
+	require.ErrorContains(t, adv.OnTick(ctx1), "lagged too large")
+
+	// resume task to make next tick normally
+	c.advanceCheckpointBy(2 * time.Minute)
+	env.ResumeTask(ctx)
+
+	// stop advancer1, and advancer2 should take over
+	cancel1()
+	log.Info("advancer1 owner canceled, and advancer2 become owner")
+	adv2.OnBecomeOwner(ctx2)
+	require.NoError(t, adv2.OnTick(ctx2))
+
+	// advancer2 should take over and tick normally
+	for i := 0; i < 10; i++ {
+		c.advanceClusterTimeBy(2 * time.Minute)
+		c.advanceCheckpointBy(2 * time.Minute)
+		require.NoError(t, adv2.OnTick(ctx2))
+	}
+	c.advanceClusterTimeBy(2 * time.Minute)
+	require.ErrorContains(t, adv2.OnTick(ctx2), "lagged too large")
+	// stop advancer2, and advancer1 should take over
+	c.advanceCheckpointBy(2 * time.Minute)
+	env.ResumeTask(ctx)
+	cancel2()
+	log.Info("advancer2 owner canceled, and advancer1 become owner")
+
+	adv.OnBecomeOwner(ctx)
+	// advancer1 should take over and tick normally when come back
+	require.NoError(t, adv.OnTick(ctx))
+}
+
 func TestCheckPointLagged(t *testing.T) {
 	c := createFakeCluster(t, 4, false)
 	defer func() {
@@ -548,8 +626,10 @@ func TestCheckPointLagged(t *testing.T) {
 	})
 	adv.StartTaskListener(ctx)
 	c.advanceClusterTimeBy(2 * time.Minute)
+	// if global ts is not advanced, the checkpoint will not be lagged
+	c.advanceCheckpointBy(2 * time.Minute)
 	require.NoError(t, adv.OnTick(ctx))
-	c.advanceClusterTimeBy(1 * time.Minute)
+	c.advanceClusterTimeBy(3 * time.Minute)
 	require.ErrorContains(t, adv.OnTick(ctx), "lagged too large")
 	// after some times, the isPaused will be set and ticks are skipped
 	require.Eventually(t, func() bool {
@@ -573,8 +653,10 @@ func TestCheckPointResume(t *testing.T) {
 	})
 	adv.StartTaskListener(ctx)
 	c.advanceClusterTimeBy(1 * time.Minute)
+	// if global ts is not advanced, the checkpoint will not be lagged
+	c.advanceCheckpointBy(1 * time.Minute)
 	require.NoError(t, adv.OnTick(ctx))
-	c.advanceClusterTimeBy(1 * time.Minute)
+	c.advanceClusterTimeBy(2 * time.Minute)
 	require.ErrorContains(t, adv.OnTick(ctx), "lagged too large")
 	require.Eventually(t, func() bool {
 		return assert.NoError(t, adv.OnTick(ctx))
@@ -604,18 +686,48 @@ func TestUnregisterAfterPause(t *testing.T) {
 		c.CheckPointLagLimit = 1 * time.Minute
 	})
 	adv.StartTaskListener(ctx)
+
+	// wait for the task to be added
+	require.Eventually(t, func() bool {
+		return adv.HasTask()
+	}, 5*time.Second, 100*time.Millisecond)
+
+	// task is should be paused when global checkpoint is laggeod
+	// even the global checkpoint is equal to task start ts(not advanced all the time)
 	c.advanceClusterTimeBy(1 * time.Minute)
 	require.NoError(t, adv.OnTick(ctx))
 	env.PauseTask(ctx, "whole")
-	time.Sleep(1 * time.Second)
 	c.advanceClusterTimeBy(1 * time.Minute)
+	require.Error(t, adv.OnTick(ctx), "checkpoint is lagged")
+	env.unregisterTask()
+	env.putTask()
+
+	// wait for the task to be added
+	require.Eventually(t, func() bool {
+		return adv.HasTask()
+	}, 5*time.Second, 100*time.Millisecond)
+
+	require.Error(t, adv.OnTick(ctx), "checkpoint is lagged")
+
+	env.unregisterTask()
+	// wait for the task to be deleted
+	require.Eventually(t, func() bool {
+		return !adv.HasTask()
+	}, 5*time.Second, 100*time.Millisecond)
+
+	// reset
+	c.advanceClusterTimeBy(-1 * time.Minute)
 	require.NoError(t, adv.OnTick(ctx))
+	env.PauseTask(ctx, "whole")
+	c.advanceClusterTimeBy(1 * time.Minute)
 	env.unregisterTask()
 	env.putTask()
+	// wait for the task to be add
 	require.Eventually(t, func() bool {
-		err := adv.OnTick(ctx)
-		return err != nil && strings.Contains(err.Error(), "check point lagged too large")
-	}, 5*time.Second, 300*time.Millisecond)
+		return adv.HasTask()
+	}, 5*time.Second, 100*time.Millisecond)
+
+	require.Error(t, adv.OnTick(ctx), "checkpoint is lagged")
 }
 
 // If the start ts is *NOT* lagged, even both the cluster and pd are lagged, the task should run normally.
@@ -727,13 +839,18 @@ func TestAddTaskWithLongRunTask2(t *testing.T) {
 	adv.UpdateConfigWith(func(c *config.Config) {
 		c.CheckPointLagLimit = 1 * time.Minute
 	})
+	adv.StartTaskListener(ctx)
 	c.advanceClusterTimeBy(3 * time.Minute)
 	c.advanceCheckpointBy(1 * time.Minute)
 	env.advanceCheckpointBy(2 * time.Minute)
 	env.mockPDConnectionError()
-	adv.StartTaskListener(ctx)
-	// Try update checkpoint
-	require.NoError(t, adv.OnTick(ctx))
+	// if cannot connect to pd, the checkpoint will be rolled back
+	// because at this point. the global ts is 2 minutes
+	// and the local checkpoint ts is 1 minute
+	require.Error(t, adv.OnTick(ctx), "checkpoint rollback")
+
+	// only when local checkpoint > global ts, the next tick will be normal
+	c.advanceCheckpointBy(12 * time.Minute)
 	// Verify no err raised
 	require.NoError(t, adv.OnTick(ctx))
 }
@@ -767,11 +884,17 @@ func TestAddTaskWithLongRunTask3(t *testing.T) {
 	adv.UpdateConfigWith(func(c *config.Config) {
 		c.CheckPointLagLimit = 1 * time.Minute
 	})
-	c.advanceClusterTimeBy(3 * time.Minute)
+	// advance cluster time to 4 minutes, and checkpoint to 1 minutes
+	// if start ts equals to checkpoint, the task will not be paused
+	adv.StartTaskListener(ctx)
+	c.advanceClusterTimeBy(2 * time.Minute)
+	c.advanceCheckpointBy(1 * time.Minute)
+	env.advanceCheckpointBy(1 * time.Minute)
+	require.NoError(t, adv.OnTick(ctx))
+
+	c.advanceClusterTimeBy(2 * time.Minute)
 	c.advanceCheckpointBy(1 * time.Minute)
 	env.advanceCheckpointBy(1 * time.Minute)
-	env.mockPDConnectionError()
-	adv.StartTaskListener(ctx)
 	// Try update checkpoint
 	require.ErrorContains(t, adv.OnTick(ctx), "lagged too large")
 	// Verify no err raised after paused
diff --git a/br/pkg/streamhelper/basic_lib_for_test.go b/br/pkg/streamhelper/basic_lib_for_test.go
index 52ce89519a23a..22a66c18e27af 100644
--- a/br/pkg/streamhelper/basic_lib_for_test.go
+++ b/br/pkg/streamhelper/basic_lib_for_test.go
@@ -687,7 +687,12 @@ func (t *testEnv) UploadV3GlobalCheckpointForTask(ctx context.Context, _ string,
 	defer t.mu.Unlock()
 
 	if checkpoint < t.checkpoint {
-		t.testCtx.Fatalf("checkpoint rolling back (from %d to %d)", t.checkpoint, checkpoint)
+		log.Error("checkpoint rolling back",
+			zap.Uint64("from", t.checkpoint),
+			zap.Uint64("to", checkpoint),
+			zap.Stack("stack"))
+		// t.testCtx.Fatalf("checkpoint rolling back (from %d to %d)", t.checkpoint, checkpoint)
+		return errors.New("checkpoint rolling back")
 	}
 	t.checkpoint = checkpoint
 	return nil
@@ -747,6 +752,8 @@ func (t *testEnv) advanceCheckpointBy(duration time.Duration) {
 	t.mu.Lock()
 	defer t.mu.Unlock()
 
+	log.Info("advance checkpoint", zap.Duration("duration", duration), zap.Uint64("from", t.checkpoint))
+
 	t.checkpoint = oracle.GoTimeToTS(oracle.GetTimeFromTS(t.checkpoint).Add(duration))
 }
 
@@ -766,7 +773,8 @@ func (t *testEnv) putTask() {
 		Type: streamhelper.EventAdd,
 		Name: "whole",
 		Info: &backup.StreamBackupTaskInfo{
-			Name: "whole",
+			Name:    "whole",
+			StartTs: 5,
 		},
 		Ranges: rngs,
 	}