diff --git a/tools/valgrind/GTest.supp b/tools/valgrind/GTest.supp
new file mode 100644
index 0000000000..0977288a06
--- /dev/null
+++ b/tools/valgrind/GTest.supp
@@ -0,0 +1,27 @@
+{
+  Run_strdup_1
+  Memcheck:Leak
+  match-leak-kinds: reachable
+  fun:malloc
+  fun:strdup
+  ...
+  fun:_ZN7testing8UnitTest3RunEv
+}
+{
+  Run_register_state_1
+  Memcheck:Leak
+  match-leak-kinds: reachable
+  fun:malloc
+  fun:register_state
+  ...
+  fun:_ZN7testing8TestSuite3RunEv.part.0
+}
+{
+  Run_register_state_2
+  Memcheck:Leak
+  match-leak-kinds: reachable
+  fun:malloc
+  fun:register_state
+  ...
+  fun:_ZN7testing8TestSuite3RunEv
+}
diff --git a/tools/valgrind/README b/tools/valgrind/README
index 012eab1b65..fb35b4586a 100644
--- a/tools/valgrind/README
+++ b/tools/valgrind/README
@@ -9,7 +9,8 @@ valgrind --show-leak-kinds=all --track-origins=yes \
    --suppressions=/path/to/lammps/tools/valgrind/OpenMP.supp \
    --suppressions=/path/to/lammps/tools/valgrind/OpenMPI.supp \
    --suppressions=/path/to/lammps/tools/valgrind/Python3.supp \
+   --suppressions=/path/to/lammps/tools/valgrind/GTest.supp \
     lmp -in in.melt
 
-Last update: 2020-06-24
+Last update: 2020-07-09