diff --git a/source/module_hamilt_lcao/module_gint/cal_ddpsir_ylm.cpp b/source/module_hamilt_lcao/module_gint/cal_ddpsir_ylm.cpp
index ac5e92616b..ea785361f1 100644
--- a/source/module_hamilt_lcao/module_gint/cal_ddpsir_ylm.cpp
+++ b/source/module_hamilt_lcao/module_gint/cal_ddpsir_ylm.cpp
@@ -160,7 +160,7 @@ void cal_ddpsir_ylm(
                             const int ll = atom->iw2l[iw];
                             const int idx_lm = atom->iw2_ylm[iw];
 
-                            const double rl = pow(distance1, ll);
+                            const double rl = pow_int(distance1, ll);
 
                             // derivative of wave functions with respect to atom positions.
                             const double tmpdphi_rly = (dtmp - tmp * ll / distance1) / rl * rly[idx_lm] / distance1;
@@ -268,8 +268,8 @@ void cal_ddpsir_ylm(
                         const int ll = atom->iw2l[iw];
                         const int idx_lm = atom->iw2_ylm[iw];
 
-                        const double rl = pow(distance, ll);
-                        const double r_lp2 = pow(distance, ll + 2);
+                        const double rl = pow_int(distance, ll);
+                        const double r_lp2 =rl * distance * distance;
 
                         // d/dr (R_l / r^l)
                         const double tmpdphi = (dtmp - tmp * ll / distance) / rl;
diff --git a/source/module_hamilt_lcao/module_gint/cal_dpsir_ylm.cpp b/source/module_hamilt_lcao/module_gint/cal_dpsir_ylm.cpp
index 87644dbcfa..8c6a4ce637 100644
--- a/source/module_hamilt_lcao/module_gint/cal_dpsir_ylm.cpp
+++ b/source/module_hamilt_lcao/module_gint/cal_dpsir_ylm.cpp
@@ -68,8 +68,9 @@ void cal_dpsir_ylm(
                 double distance = std::sqrt(dr[0] * dr[0] + dr[1] * dr[1] + dr[2] * dr[2]);
 
                 ModuleBase::Ylm::grad_rl_sph_harm(ucell.atoms[it].nwl, dr[0], dr[1], dr[2], rly, grly.get_ptr_2D());
-                if (distance < 1e-9)
+                if (distance < 1e-9) {
                     distance = 1e-9;
+}
 
                 const double position = distance / delta_r;
 
@@ -115,7 +116,7 @@ void cal_dpsir_ylm(
                     const int ll = atom->iw2l[iw];
                     const int idx_lm = atom->iw2_ylm[iw];
 
-                    const double rl = pow(distance, ll);
+                    const double rl = pow_int(distance, ll);
 
                     // 3D wave functions
                     p_psi[iw] = tmp * rly[idx_lm] / rl;
diff --git a/source/module_hamilt_lcao/module_gint/gint_tools.h b/source/module_hamilt_lcao/module_gint/gint_tools.h
index 178ccf6fa5..c8771dfbe6 100644
--- a/source/module_hamilt_lcao/module_gint/gint_tools.h
+++ b/source/module_hamilt_lcao/module_gint/gint_tools.h
@@ -136,6 +136,29 @@ class Gint_inout
 
 namespace Gint_Tools
 {
+// if exponent is an integer between 0 and 5 (the most common cases in gint),
+// pow_int is much faster than std::pow
+inline double pow_int(const double base, const int exp)
+{
+    switch (exp)
+    {
+    case 0:
+        return 1.0;
+    case 1:
+        return base;
+    case 2:
+        return base * base;
+    case 3:
+        return base * base * base;
+    case 4:
+        return base * base * base * base;
+    case 5:
+        return base * base * base * base * base;
+    default:
+        double result = std::pow(base, exp);
+        return result;
+    }
+}
 // vindex[pw.bxyz]
 int* get_vindex(const int bxyz,
                 const int bx,
diff --git a/source/module_hamilt_lcao/module_gint/grid_meshball.cpp b/source/module_hamilt_lcao/module_gint/grid_meshball.cpp
index e01518c668..1868559d16 100644
--- a/source/module_hamilt_lcao/module_gint/grid_meshball.cpp
+++ b/source/module_hamilt_lcao/module_gint/grid_meshball.cpp
@@ -127,7 +127,7 @@ double Grid_MeshBall::deal_with_atom_spillage(const double *pos)
 					cell[ip] = i*this->bigcell_vec1[ip] +
 						j*this->bigcell_vec2[ip] +
 						k*this->bigcell_vec3[ip];
-					dx += std::pow(cell[ip] - pos[ip], 2);
+					dx += (cell[ip] - pos[ip]) * (cell[ip] - pos[ip]);
 				}
 				r2 = std::min(dx, r2);
 			}
diff --git a/source/module_hamilt_lcao/module_gint/kernels/cuda/interp.cuh b/source/module_hamilt_lcao/module_gint/kernels/cuda/interp.cuh
index 5c5882be8f..31ccf3ca2c 100644
--- a/source/module_hamilt_lcao/module_gint/kernels/cuda/interp.cuh
+++ b/source/module_hamilt_lcao/module_gint/kernels/cuda/interp.cuh
@@ -5,6 +5,30 @@
 
 namespace GintKernel
 {
+// if exponent is an integer between 0 and 5 (the most common cases in gint),
+// pow_int is much faster than std::pow
+static __device__ double pow_int(double base, int exp)
+{
+    switch (exp)
+    {
+    case 0:
+        return 1.0;
+    case 1:
+        return base;
+    case 2:
+        return base * base;
+    case 3:
+        return base * base * base;
+    case 4:
+        return base * base * base * base;
+    case 5:
+        return base * base * base * base * base;
+    default:
+        double result = pow(base, exp);
+        return result;      
+    }
+}
+
 static __device__ void interp_rho(const double dist,
                                   const double delta_r,
                                   const int atype,
@@ -145,7 +169,7 @@ static __device__ void interp_f(const double dist,
         // Extract information from atom_iw2_* arrays
         const int ll = atom_iw2_l[it_nw_iw];
         const int idx_lm = atom_iw2_ylm[it_nw_iw];
-        const double rl = pow(dist, ll);
+        const double rl = pow_int(dist, ll);
         const double rl_r = 1.0 / rl;
         const double dist_r = 1 / dist;
         const int dpsi_idx = psi_idx * 3;