diff --git a/include/tvm/meta_schedule/space_generator.h b/include/tvm/meta_schedule/space_generator.h
index 7aff6839dc555..3611870c7c9b2 100644
--- a/include/tvm/meta_schedule/space_generator.h
+++ b/include/tvm/meta_schedule/space_generator.h
@@ -139,13 +139,13 @@ class SpaceGenerator : public ObjectRef {
  public:
   /*!
    * \brief Create a design space generator with customized methods on the python-side.
-   * \param initialize_with_tune_context_func The packed function of `InitializeWithTuneContext`.
-   * \param generate_design_space_func The packed function of `GenerateDesignSpace`.
+   * \param f_initialize_with_tune_context The packed function of `InitializeWithTuneContext`.
+   * \param f_generate_design_space The packed function of `GenerateDesignSpace`.
    * \return The design space generator created.
    */
   TVM_DLL static SpaceGenerator PySpaceGenerator(
-      PySpaceGeneratorNode::FInitializeWithTuneContext initialize_with_tune_context_func,
-      PySpaceGeneratorNode::FGenerateDesignSpace generate_design_space_func);
+      PySpaceGeneratorNode::FInitializeWithTuneContext f_initialize_with_tune_context,
+      PySpaceGeneratorNode::FGenerateDesignSpace f_generate_design_space);
 
   /*!
    * \brief Create a design space generator that is union of multiple design space generators.
diff --git a/include/tvm/meta_schedule/task_scheduler.h b/include/tvm/meta_schedule/task_scheduler.h
index 0284a55e0d03f..ddd6f4c4815f6 100644
--- a/include/tvm/meta_schedule/task_scheduler.h
+++ b/include/tvm/meta_schedule/task_scheduler.h
@@ -249,6 +249,9 @@ class TaskScheduler : public runtime::ObjectRef {
    * \param builder The builder of the scheduler.
    * \param runner The runner of the scheduler.
    * \param database The database of the scheduler.
+   * \param cost_model The cost model of the scheduler.
+   * \param measure_callbacks The measure callbacks of the scheduler.
+   * \return The task scheduler created.
    */
   TVM_DLL static TaskScheduler RoundRobin(Array<TuneContext> tasks,        //
                                           Builder builder,                 //
@@ -256,6 +259,22 @@ class TaskScheduler : public runtime::ObjectRef {
                                           Database database,               //
                                           Optional<CostModel> cost_model,  //
                                           Optional<Array<MeasureCallback>> measure_callbacks);
+  /*!
+   * \brief Create a task scheduler with customized methods on the python-side.
+   * \param tasks The tasks to be tuned.
+   * \param builder The builder of the scheduler.
+   * \param runner The runner of the scheduler.
+   * \param database The database of the scheduler.
+   * \param cost_model The cost model of the scheduler.
+   * \param measure_callbacks The measure callbacks of the scheduler.
+   * \param f_tune The packed function of `Tune`.
+   * \param f_initialize_task The packed function of `InitializeTask`.
+   * \param f_set_task_stopped The packed function of `SetTaskStopped`.
+   * \param f_is_task_running The packed function of `IsTaskRunning`.
+   * \param f_join_running_task The packed function of `JoinRunningTask`.
+   * \param f_next_task_id The packed function of `NextTaskId`.
+   * \return The task scheduler created.
+   */
   TVM_DLL static TaskScheduler PyTaskScheduler(
       Array<TuneContext> tasks,                                   //
       Builder builder,                                            //
diff --git a/tests/python/unittest/test_meta_schedule_search_strategy.py b/tests/python/unittest/test_meta_schedule_search_strategy.py
index 6ef3771fb7833..668fca9ecbbf2 100644
--- a/tests/python/unittest/test_meta_schedule_search_strategy.py
+++ b/tests/python/unittest/test_meta_schedule_search_strategy.py
@@ -81,11 +81,11 @@ def test_meta_schedule_replay_func(TestClass: SearchStrategy):  # pylint: disabl
     num_trials_total = 20
 
     strategy = TestClass(num_trials_per_iter=num_trials_per_iter, num_trials_total=num_trials_total)
-    tune_context = TuneContext(mod=Matmul, space_generator=ScheduleFn(sch_fn=_schedule_matmul))
-    tune_context.space_generator.initialize_with_tune_context(tune_context)
-    spaces = tune_context.space_generator.generate_design_space(tune_context.mod)
+    context = TuneContext(mod=Matmul, space_generator=ScheduleFn(sch_fn=_schedule_matmul))
+    context.space_generator.initialize_with_tune_context(context)
+    spaces = context.space_generator.generate_design_space(context.mod)
 
-    strategy.initialize_with_tune_context(tune_context)
+    strategy.initialize_with_tune_context(context)
     strategy.pre_tuning(spaces)
     (correct_sch,) = ScheduleFn(sch_fn=_schedule_matmul).generate_design_space(Matmul)
     num_trials_each_iter: List[int] = []
@@ -100,7 +100,7 @@ def test_meta_schedule_replay_func(TestClass: SearchStrategy):  # pylint: disabl
                 remove_decisions=(isinstance(strategy, ReplayTrace)),
             )
             runner_results.append(RunnerResult(run_secs=[0.11, 0.41, 0.54], error_msg=None))
-        strategy.notify_runner_results(tune_context, candidates, runner_results)
+        strategy.notify_runner_results(context, candidates, runner_results)
         candidates = strategy.generate_measure_candidates()
     strategy.post_tuning()
     assert num_trials_each_iter == [7, 7, 6]