diff --git a/Modules/FindOpenMP.cmake b/Modules/FindOpenMP.cmake
index 52330a4970..e982e2d593 100644
--- a/Modules/FindOpenMP.cmake
+++ b/Modules/FindOpenMP.cmake
@@ -130,6 +130,8 @@ function(_OPENMP_FLAG_CANDIDATES LANG)
     set(OMP_FLAG_XL "-qsmp=omp")
     # Cray compiler activate OpenMP with -h omp, which is enabled by default.
     set(OMP_FLAG_Cray " " "-h omp")
+    set(OMP_FLAG_Fujitsu "-Kopenmp" "-KOMP")
+    set(OMP_FLAG_FujitsuClang "-fopenmp" "-Kopenmp")
 
     # If we know the correct flags, use those
     if(DEFINED OMP_FLAG_${CMAKE_${LANG}_COMPILER_ID})