diff --git a/modules/prediction/common/prediction_gflags.cc b/modules/prediction/common/prediction_gflags.cc
index d7e33c97a458f04c28f071326d6e329aeb41e85e..e9bebc5484284e23267a2829f97b7c9a599f1dab 100644
--- a/modules/prediction/common/prediction_gflags.cc
+++ b/modules/prediction/common/prediction_gflags.cc
@@ -147,5 +147,5 @@ DEFINE_double(sample_time_gap, 0.2,
               "Gap of time to sample time to get to the lane center");
 DEFINE_double(cost_alpha, 100.0,
               "The coefficient of lateral acceleration in cost function");
-DEFINE_double(default_time_to_end_state, 5.0,
+DEFINE_double(default_time_to_lat_end_state, 5.0,
               "The default time to lane center");
diff --git a/modules/prediction/common/prediction_gflags.h b/modules/prediction/common/prediction_gflags.h
index 9bad6afff3333fad52f7e31a935a85bacfb2f1df..33370f587212592024456227ddeeefcc335f33a7 100644
--- a/modules/prediction/common/prediction_gflags.h
+++ b/modules/prediction/common/prediction_gflags.h
@@ -102,6 +102,6 @@ DECLARE_double(time_upper_bound_to_lane_center);
 DECLARE_double(time_lower_bound_to_lane_center);
 DECLARE_double(sample_time_gap);
 DECLARE_double(cost_alpha);
-DECLARE_double(default_time_to_end_state);
+DECLARE_double(default_time_to_lat_end_state);
 
 #endif  // MODULES_PREDICTION_COMMON_PREDICTION_GFLAGS_H_
diff --git a/modules/prediction/predictor/move_sequence/move_sequence_predictor.cc b/modules/prediction/predictor/move_sequence/move_sequence_predictor.cc
index d773e02197f82eb7fc984c9b2277ceb5a25c90cc..43ed15774703c0ababed41a0c5e0de20d9b46fa2 100644
--- a/modules/prediction/predictor/move_sequence/move_sequence_predictor.cc
+++ b/modules/prediction/predictor/move_sequence/move_sequence_predictor.cc
@@ -115,16 +115,16 @@ void MoveSequencePredictor::DrawMoveSequenceTrajectoryPoints(
   }
 
   Eigen::Vector2d position(feature.position().x(), feature.position().y());
-  double time_to_end_state =
-      std::max(FLAGS_default_time_to_end_state,
-               ComputeTimeToLaneCenterByVelocity(obstacle, lane_sequence));
+  double time_to_lat_end_state = std::max(FLAGS_default_time_to_lat_end_state,
+      ComputeTimeToLatEndConditionByVelocity(obstacle, lane_sequence));
+  // double time_to_lon_end_state =
+  //     ComputeTimeToLonEndCondition(obstacle, lane_sequence);
 
   std::array<double, 6> lateral_coeffs;
   std::array<double, 5> longitudinal_coeffs;
-  GetLateralPolynomial(obstacle, lane_sequence, time_to_end_state,
+  GetLateralPolynomial(obstacle, lane_sequence, time_to_lat_end_state,
                        &lateral_coeffs);
-  GetLongitudinalPolynomial(obstacle, lane_sequence, time_to_end_state,
-                            &longitudinal_coeffs);
+  GetLongitudinalPolynomial(obstacle, lane_sequence, &longitudinal_coeffs);
 
   int lane_segment_index = 0;
   std::string lane_id =
@@ -140,12 +140,12 @@ void MoveSequencePredictor::DrawMoveSequenceTrajectoryPoints(
   double prev_lane_l = lane_l;
 
   size_t total_num = static_cast<size_t>(total_time / period);
-  size_t num_to_center = static_cast<size_t>(time_to_end_state / period);
+  size_t num_to_lat_end = static_cast<size_t>(time_to_lat_end_state / period);
   for (size_t i = 0; i < total_num; ++i) {
     double relative_time = static_cast<double>(i) * period;
     Eigen::Vector2d point;
     double theta = M_PI;
-    if (i < num_to_center) {
+    if (i < num_to_lat_end) {
       lane_l = EvaluateQuinticPolynomial(lateral_coeffs, relative_time, 0);
     } else {
       lane_l = 0.0;
@@ -197,10 +197,13 @@ void MoveSequencePredictor::DrawMoveSequenceTrajectoryPoints(
 
 void MoveSequencePredictor::GetLongitudinalPolynomial(
     const Obstacle& obstacle, const LaneSequence& lane_sequence,
-    const double time_to_end_state, std::array<double, 5>* coefficients) {
+    std::array<double, 5>* coefficients) {
   CHECK_GT(obstacle.history_size(), 0);
   CHECK_GT(lane_sequence.lane_segment_size(), 0);
   CHECK_GT(lane_sequence.lane_segment(0).lane_point_size(), 0);
+  std::pair<double, double> lon_end_state =
+      ComputeLonEndState(obstacle, lane_sequence);
+  double time_to_end_state = lon_end_state.second;
   const Feature& feature = obstacle.latest_feature();
   double theta = feature.velocity_heading();
   double v = feature.speed();
@@ -215,7 +218,8 @@ void MoveSequencePredictor::GetLongitudinalPolynomial(
   double ds0 = v * std::cos(theta - lane_heading);
   double dds0 = a * std::cos(theta - lane_heading);
   double min_end_speed = std::min(FLAGS_still_obstacle_speed_threshold, ds0);
-  double ds1 = std::max(min_end_speed, ds0 + dds0 * time_to_end_state);
+  // double ds1 = std::max(min_end_speed, ds0 + dds0 * time_to_end_state);
+  double ds1 = lon_end_state.first;
   double dds1 = 0.0;
   double p = time_to_end_state;
 
@@ -274,13 +278,13 @@ void MoveSequencePredictor::GetLateralPolynomial(
   coefficients->operator[](5) = (6.0 * c0 - 3.0 * c1 + 0.5 * c2) / p2;
 }
 
-double MoveSequencePredictor::ComputeTimeToLaneCenterBySampling(
+double MoveSequencePredictor::ComputeTimeToLatEndConditionBySampling(
     const Obstacle& obstacle, const LaneSequence& lane_sequence) {
   std::vector<double> candidate_times;
   GenerateCandidateTimes(&candidate_times);
   if (candidate_times.empty()) {
     AWARN << "No candidate times found, use default value.";
-    return FLAGS_default_time_to_end_state;
+    return FLAGS_default_time_to_lat_end_state;
   }
   double t_best = candidate_times[0];
   double cost_min = std::numeric_limits<double>::max();
@@ -288,7 +292,7 @@ double MoveSequencePredictor::ComputeTimeToLaneCenterBySampling(
     std::array<double, 6> lateral_coeffs;
     std::array<double, 5> longitudinal_coeffs;
     GetLateralPolynomial(obstacle, lane_sequence, t, &lateral_coeffs);
-    GetLongitudinalPolynomial(obstacle, lane_sequence, t, &longitudinal_coeffs);
+    GetLongitudinalPolynomial(obstacle, lane_sequence, &longitudinal_coeffs);
     double cost = Cost(t, lateral_coeffs, longitudinal_coeffs);
     if (cost < cost_min) {
       t_best = t;
@@ -298,7 +302,7 @@ double MoveSequencePredictor::ComputeTimeToLaneCenterBySampling(
   return t_best;
 }
 
-double MoveSequencePredictor::ComputeTimeToLaneCenterByVelocity(
+double MoveSequencePredictor::ComputeTimeToLatEndConditionByVelocity(
     const Obstacle& obstacle, const LaneSequence& lane_sequence) {
   CHECK_GT(obstacle.history_size(), 0);
   CHECK_GT(lane_sequence.lane_segment_size(), 0);
@@ -319,6 +323,13 @@ double MoveSequencePredictor::ComputeTimeToLaneCenterByVelocity(
   return std::fabs(lane_l / v_l);
 }
 
+std::pair<double, double> MoveSequencePredictor::ComputeLonEndState(
+    const Obstacle& obstacle, const LaneSequence& lane_sequence) {
+  // TODO(kechxu) implement
+  double t = 5.0;
+  return {0.0, t};
+}
+
 double MoveSequencePredictor::Cost(
     const double t, const std::array<double, 6>& lateral_coeffs,
     const std::array<double, 5>& longitudinal_coeffs) {
diff --git a/modules/prediction/predictor/move_sequence/move_sequence_predictor.h b/modules/prediction/predictor/move_sequence/move_sequence_predictor.h
index 6ccbb76889bd55d36d742db01e94fd8cb3b448e5..0074b7418f8520929b8f29d6a028cd9e24ce9890 100644
--- a/modules/prediction/predictor/move_sequence/move_sequence_predictor.h
+++ b/modules/prediction/predictor/move_sequence/move_sequence_predictor.h
@@ -25,6 +25,7 @@
 #include <array>
 #include <string>
 #include <vector>
+#include <utility>
 #include "Eigen/Dense"
 
 #include "modules/common/math/kalman_filter.h"
@@ -61,7 +62,6 @@ class MoveSequencePredictor : public SequencePredictor {
 
   void GetLongitudinalPolynomial(const Obstacle& obstacle,
                                  const LaneSequence& lane_sequence,
-                                 const double time_to_end_state,
                                  std::array<double, 5>* coefficients);
 
   void GetLateralPolynomial(const Obstacle& obstacle,
@@ -69,11 +69,14 @@ class MoveSequencePredictor : public SequencePredictor {
                             const double time_to_end_state,
                             std::array<double, 6>* coefficients);
 
-  double ComputeTimeToLaneCenterBySampling(const Obstacle& obstacle,
-                                           const LaneSequence& lane_sequence);
+  double ComputeTimeToLatEndConditionBySampling(
+      const Obstacle& obstacle, const LaneSequence& lane_sequence);
 
-  double ComputeTimeToLaneCenterByVelocity(const Obstacle& obstacle,
-                                           const LaneSequence& lane_sequence);
+  double ComputeTimeToLatEndConditionByVelocity(
+      const Obstacle& obstacle, const LaneSequence& lane_sequence);
+
+  std::pair<double, double> ComputeLonEndState(
+      const Obstacle& obstacle, const LaneSequence& lane_sequence);
 
   double Cost(const double t, const std::array<double, 6>& lateral_coeffs,
               const std::array<double, 5>& longitudinal_coeffs);