diff --git a/source/source_estate/elecstate_pw_cal_tau.cpp b/source/source_estate/elecstate_pw_cal_tau.cpp
index 628dd25aeff..a59990600a3 100644
--- a/source/source_estate/elecstate_pw_cal_tau.cpp
+++ b/source/source_estate/elecstate_pw_cal_tau.cpp
@@ -54,7 +54,9 @@ void ElecStatePW<T, Device>::cal_tau(const psi::Psi<T, Device>& psi)
             castmem_var_d2h_op()(this->charge->kin_r[ii], this->kin_r[ii], this->charge->nrxx);
         }
     }
-    this->parallelK();
+#ifdef __MPI
+    this->charge->kin_r_mpi();
+#endif
     ModuleBase::TITLE("ElecStatePW", "cal_tau");
 }
 
diff --git a/source/source_estate/module_charge/charge.h b/source/source_estate/module_charge/charge.h
index 79a5f5ca9e5..c49e529fb04 100644
--- a/source/source_estate/module_charge/charge.h
+++ b/source/source_estate/module_charge/charge.h
@@ -136,6 +136,12 @@ class Charge
      */
     void rho_mpi();
 
+    /**
+     * @brief Sum kin_r at different pools (k-point/band parallelism).
+     *        Only used when GlobalV::KPAR * bndpar > 1
+     */
+    void kin_r_mpi();
+
 	/**
 	 * @brief 	Reduce among different pools 
      *          If NPROC_IN_POOLs are all the same, use GlobalV::KP_WORLD
diff --git a/source/source_estate/module_charge/charge_mpi.cpp b/source/source_estate/module_charge/charge_mpi.cpp
index e9c229897b8..442317ecb26 100644
--- a/source/source_estate/module_charge/charge_mpi.cpp
+++ b/source/source_estate/module_charge/charge_mpi.cpp
@@ -137,4 +137,25 @@ void Charge::rho_mpi()
     ModuleBase::timer::end("Charge", "rho_mpi");
     return;
 }
+
+void Charge::kin_r_mpi()
+{
+    ModuleBase::TITLE("Charge", "kin_r_mpi");
+    if (GlobalV::KPAR * PARAM.inp.bndpar <= 1)
+    {
+        return;
+    }
+    ModuleBase::timer::start("Charge", "kin_r_mpi");
+
+    if (XC_Functional::get_ked_flag() || PARAM.inp.out_elf[0] > 0)
+    {
+        for (int is = 0; is < PARAM.inp.nspin; ++is)
+        {
+            reduce_diff_pools(this->kin_r[is]);
+        }
+    }
+
+    ModuleBase::timer::end("Charge", "kin_r_mpi");
+    return;
+}
 #endif
diff --git a/source/source_estate/test/CMakeLists.txt b/source/source_estate/test/CMakeLists.txt
index e27a241b9c4..aa69f4e29d8 100644
--- a/source/source_estate/test/CMakeLists.txt
+++ b/source/source_estate/test/CMakeLists.txt
@@ -56,6 +56,7 @@ AddTest(
     ../elecstate_pw_cal_tau.cpp
     ../elecstate.cpp
     ../occupy.cpp
+    ../module_charge/charge_mpi.cpp
     ../../source_psi/psi.cpp
     # ../../source_psi/kernels/psi_memory_op.cpp
     ../../source_base/module_device/memory_op.cpp
diff --git a/source/source_estate/test_mpi/charge_mpi_test.cpp b/source/source_estate/test_mpi/charge_mpi_test.cpp
index 0ddf8346908..e3214fbf655 100644
--- a/source/source_estate/test_mpi/charge_mpi_test.cpp
+++ b/source/source_estate/test_mpi/charge_mpi_test.cpp
@@ -201,6 +201,63 @@ TEST_F(ChargeMpiTest, rho_mpi)
     charge->rho_mpi();
 }
 
+TEST_F(ChargeMpiTest, kin_r_mpi)
+{
+    if (GlobalV::NPROC >= 2 && GlobalV::NPROC % 2 == 0)
+    {
+        const bool ked_flag_old = XC_Functional::ked_flag;
+        XC_Functional::ked_flag = true;
+        PARAM.input.nspin = 1;
+        PARAM.input.bndpar = 1;
+        GlobalV::KPAR = 2;
+
+        Parallel_Global::divide_pools(GlobalV::NPROC,
+                                      GlobalV::MY_RANK,
+                                      PARAM.input.bndpar,
+                                      GlobalV::KPAR,
+                                      GlobalV::NPROC_IN_BNDGROUP,
+                                      GlobalV::RANK_IN_BPGROUP,
+                                      GlobalV::MY_BNDGROUP,
+                                      GlobalV::NPROC_IN_POOL,
+                                      GlobalV::RANK_IN_POOL,
+                                      GlobalV::MY_POOL);
+        ModulePW::PW_Basis* rhopw = new ModulePW::PW_Basis();
+        rhopw->initmpi(GlobalV::NPROC_IN_POOL, GlobalV::RANK_IN_POOL, POOL_WORLD);
+        rhopw->initgrids(lat0, latvec, 40);
+        rhopw->initparameters(false, 10);
+        rhopw->setuptransform();
+        charge->rhopw = rhopw;
+
+        const int nz = rhopw->nz;
+        const int nrxx = rhopw->nrxx;
+        const int nxy = rhopw->nxy;
+        const int nplane = rhopw->nplane;
+        charge->nrxx = nrxx;
+        charge->kin_r = new double*[1];
+        charge->kin_r[0] = new double[nrxx];
+
+        for (int ir = 0; ir < nxy; ++ir)
+        {
+            for (int iz = 0; iz < nplane; ++iz)
+            {
+                charge->kin_r[0][nplane * ir + iz]
+                    = (rhopw->startz_current + iz + ir * nz) / double(nxy * nz);
+            }
+        }
+        const double refsum = sum_array(charge->kin_r[0], nrxx);
+
+        charge->init_chgmpi();
+        charge->kin_r_mpi();
+        const double sum = sum_array(charge->kin_r[0], nrxx);
+        EXPECT_EQ(sum, refsum * GlobalV::KPAR);
+
+        delete[] charge->kin_r[0];
+        delete[] charge->kin_r;
+        delete rhopw;
+        XC_Functional::ked_flag = ked_flag_old;
+    }
+}
+
 int main(int argc, char** argv)
 {
     MPI_Init(&argc, &argv);