diff --git a/cmake/CMakeLists.txt b/cmake/CMakeLists.txt
index 0f99cc6274..0687b54fcb 100644
--- a/cmake/CMakeLists.txt
+++ b/cmake/CMakeLists.txt
@@ -679,4 +679,9 @@ if(PKG_KSPACE)
   else()
     message(STATUS "Using double precision FFTs")
   endif()
+  if(FFT_THREADS)
+    message(STATUS "Using threaded FFTs")
+  else()
+    message(STATUS "Using non-threaded FFTs")
+  endif()
 endif()
diff --git a/cmake/Modules/FindFFTW3.cmake b/cmake/Modules/FindFFTW3.cmake
index 552bcc4257..221e4beaad 100644
--- a/cmake/Modules/FindFFTW3.cmake
+++ b/cmake/Modules/FindFFTW3.cmake
@@ -1,20 +1,23 @@
 # - Find fftw3
 # Find the native FFTW3 headers and libraries.
 #
-#  FFTW3_INCLUDE_DIRS - where to find fftw3.h, etc.
-#  FFTW3_LIBRARIES    - List of libraries when using fftw3.
-#  FFTW3_FOUND        - True if fftw3 found.
+#  FFTW3_INCLUDE_DIRS  - where to find fftw3.h, etc.
+#  FFTW3_LIBRARIES     - List of libraries when using fftw3.
+#  FFTW3_OMP_LIBRARIES - List of libraries when using fftw3.
+#  FFTW3_FOUND         - True if fftw3 found.
+#  FFTW3_OMP_FOUND     - True if fftw3_omp found.
 #
 
 find_package(PkgConfig)
 
 pkg_check_modules(PC_FFTW3 fftw3)
 find_path(FFTW3_INCLUDE_DIR fftw3.h HINTS ${PC_FFTW3_INCLUDE_DIRS})
-
 find_library(FFTW3_LIBRARY NAMES fftw3 HINTS ${PC_FFTW3_LIBRARY_DIRS})
+find_library(FFTW3_OMP_LIBRARY NAMES fftw3_omp HINTS ${PC_FFTW3_LIBRARY_DIRS})
 
-set(FFTW3_LIBRARIES ${FFTW3_LIBRARY})
 set(FFTW3_INCLUDE_DIRS ${FFTW3_INCLUDE_DIR})
+set(FFTW3_LIBRARIES ${FFTW3_LIBRARY})
+set(FFTW3_OMP_LIBRARIES ${FFTW3_OMP_LIBRARY})
 
 include(FindPackageHandleStandardArgs)
 # handle the QUIETLY and REQUIRED arguments and set FFTW3_FOUND to TRUE
@@ -22,4 +25,4 @@ include(FindPackageHandleStandardArgs)
 
 find_package_handle_standard_args(FFTW3 DEFAULT_MSG FFTW3_LIBRARY FFTW3_INCLUDE_DIR)
 
-mark_as_advanced(FFTW3_INCLUDE_DIR FFTW3_LIBRARY )
+mark_as_advanced(FFTW3_INCLUDE_DIR FFTW3_LIBRARY FFTW3_OMP_LIBRARY)
diff --git a/cmake/Modules/FindFFTW3F.cmake b/cmake/Modules/FindFFTW3F.cmake
index 92d1e85e79..c67aa5faf1 100644
--- a/cmake/Modules/FindFFTW3F.cmake
+++ b/cmake/Modules/FindFFTW3F.cmake
@@ -1,8 +1,8 @@
-# - Find fftw3f
-# Find the native FFTW3F headers and libraries.
+# Find the native single precision FFTW3 headers and libraries.
 #
 #  FFTW3F_INCLUDE_DIRS - where to find fftw3f.h, etc.
 #  FFTW3F_LIBRARIES    - List of libraries when using fftw3f.
+#  FFTW3F_OMP_LIBRARIES - List of libraries when using fftw3.
 #  FFTW3F_FOUND        - True if fftw3f found.
 #
 
@@ -10,11 +10,12 @@ find_package(PkgConfig)
 
 pkg_check_modules(PC_FFTW3F fftw3f)
 find_path(FFTW3F_INCLUDE_DIR fftw3.h HINTS ${PC_FFTW3F_INCLUDE_DIRS})
-
 find_library(FFTW3F_LIBRARY NAMES fftw3f HINTS ${PC_FFTW3F_LIBRARY_DIRS})
+find_library(FFTW3F_OMP_LIBRARY NAMES fftw3f_omp HINTS ${PC_FFTW3F_LIBRARY_DIRS})
 
-set(FFTW3F_LIBRARIES ${FFTW3F_LIBRARY})
 set(FFTW3F_INCLUDE_DIRS ${FFTW3F_INCLUDE_DIR})
+set(FFTW3F_LIBRARIES ${FFTW3F_LIBRARY})
+set(FFTW3F_OMP_LIBRARIES ${FFTW3F_OMP_LIBRARY})
 
 include(FindPackageHandleStandardArgs)
 # handle the QUIETLY and REQUIRED arguments and set FFTW3F_FOUND to TRUE
@@ -22,4 +23,4 @@ include(FindPackageHandleStandardArgs)
 
 find_package_handle_standard_args(FFTW3F DEFAULT_MSG FFTW3F_LIBRARY FFTW3F_INCLUDE_DIR)
 
-mark_as_advanced(FFTW3F_INCLUDE_DIR FFTW3F_LIBRARY )
+mark_as_advanced(FFTW3F_INCLUDE_DIR FFTW3F_LIBRARY)
diff --git a/cmake/Modules/Packages/KOKKOS.cmake b/cmake/Modules/Packages/KOKKOS.cmake
index 2f7d401802..cd4dd21cd7 100644
--- a/cmake/Modules/Packages/KOKKOS.cmake
+++ b/cmake/Modules/Packages/KOKKOS.cmake
@@ -27,7 +27,9 @@ if(PKG_KOKKOS)
                          ${KOKKOS_PKG_SOURCES_DIR}/modify_kokkos.cpp)
 
   if(PKG_KSPACE)
-    list(APPEND KOKKOS_PKG_SOURCES ${KOKKOS_PKG_SOURCES_DIR}/gridcomm_kokkos.cpp)
+    list(APPEND KOKKOS_PKG_SOURCES ${KOKKOS_PKG_SOURCES_DIR}/fft3d_kokkos.cpp
+                                   ${KOKKOS_PKG_SOURCES_DIR}/gridcomm_kokkos.cpp
+                                   ${KOKKOS_PKG_SOURCES_DIR}/remap_kokkos.cpp)
   endif()
 
   set_property(GLOBAL PROPERTY "KOKKOS_PKG_SOURCES" "${KOKKOS_PKG_SOURCES}")
diff --git a/cmake/Modules/Packages/KSPACE.cmake b/cmake/Modules/Packages/KSPACE.cmake
index 63c42baf2d..8451eef91c 100644
--- a/cmake/Modules/Packages/KSPACE.cmake
+++ b/cmake/Modules/Packages/KSPACE.cmake
@@ -21,14 +21,36 @@ if(PKG_KSPACE)
     add_definitions(-DFFT_FFTW3)
     include_directories(${${FFTW}_INCLUDE_DIRS})
     list(APPEND LAMMPS_LINK_LIBS ${${FFTW}_LIBRARIES})
+    if(FFTW3_OMP_LIBRARY OR FFTW3F_OMP_LIBRARY)
+      option(FFT_THREADS "Use threaded FFT library" ON)
+    else()
+      option(FFT_THREADS "Use threaded FFT library" OFF)
+    endif()
+
+    if(FFT_THREADS)
+      if(FFTW3_OMP_LIBRARY OR FFTW3F_OMP_LIBRARY)
+        add_definitions(-DFFT_FFTW_THREADS)
+        list(APPEND LAMMPS_LINK_LIBS ${${FFTW}_OMP_LIBRARIES})
+      else()
+        message(FATAL_ERROR "Need OpenMP enabled FFTW3 library for FFT_THREADS")
+      endif()
+    endif()
   elseif(FFT STREQUAL "MKL")
     find_package(MKL REQUIRED)
+    option(FFT_THREADS "Use threaded FFT library" OFF)
     add_definitions(-DFFT_MKL)
     include_directories(${MKL_INCLUDE_DIRS})
     list(APPEND LAMMPS_LINK_LIBS ${MKL_LIBRARIES})
+    if (FFT_THREADS)
+      message(FATAL_ERROR "FFT_THREADS not supported with FFT from MKL")
+    endif()
   else()
     # last option is KISSFFT
+    option(FFT_THREADS "Use threaded FFT library" OFF)
     add_definitions(-DFFT_KISS)
+    if (FFT_THREADS)
+      message(FATAL_ERROR "FFT_THREADS not supported with KISSFFT")
+    endif()
   endif()
 
   set(FFT_PACK "array" CACHE STRING "Optimization for FFT")
diff --git a/doc/src/Build_settings.txt b/doc/src/Build_settings.txt
index 578903774d..48a67a189b 100644
--- a/doc/src/Build_settings.txt
+++ b/doc/src/Build_settings.txt
@@ -33,8 +33,9 @@ LAMMPS can use them if they are available on your system.
 
 [CMake variables]:
 
--D FFT=value              # FFTW3 or MKL or KISS or CUFFT, default is FFTW3 if found, else KISS
+-D FFT=value              # FFTW3 or MKL or KISS, default is FFTW3 if found, else KISS
 -D FFT_SINGLE=value       # yes or no (default), no = double precision
+-D FFT_THREADS=value      # yes or no, default is yes if FFT=FFTW3 and OpenMP FFT lib found, else no
 -D FFT_PACK=value         # array (default) or pointer or memcpy :pre
 
 NOTE: The values for the FFT variable must be in upper-case.  This is
@@ -51,9 +52,10 @@ the FFT library, you can set these variables:
 
 [Makefile.machine settings]:
 
-FFT_INC = -DFFT_FFTW3         # -DFFT_FFTW3, -DFFT_FFTW (same as -DFFT_FFTW3), -DFFT_MKL, -DFFT_FFTW_THREADS, -DFFT_CUFFT, or -DFFT_KISS
+FFT_INC = -DFFT_FFTW3         # -DFFT_FFTW3, -DFFT_FFTW (same as -DFFT_FFTW3), -DFFT_MKL, or -DFFT_KISS
                               # default is KISS if not specified
 FFT_INC = -DFFT_SINGLE        # do not specify for double precision
+FFT_INC = -DFFT_FFTW_THREADS  # use threaded FFTW3. requires -DFFT_FFTW3 (or -DFFT_FFTW)
 FFT_INC = -DFFT_PACK_ARRAY    # or -DFFT_PACK_POINTER or -DFFT_PACK_MEMCPY :pre
                               # default is FFT_PACK_ARRAY if not specified
 
@@ -61,7 +63,7 @@ FFT_INC =       -I/usr/local/include
 FFT_PATH =      -L/usr/local/lib
 FFT_LIB =       -lfftw3             # FFTW3 double precision
 FFT_LIB =       -lfftw3 -lfftw3f    # FFTW3 single precision
-FFT_LIB =       -lfftw3 -lfftw3_omp # FFTW3 double precision, OpenMP threaded using the KOKKOS package
+FFT_LIB =       -lfftw3 -lfftw3_omp # FFTW3 double precision, OpenMP threaded
 FFT_LIB =       -lmkl_intel_lp64 -lmkl_sequential -lmkl_core  # MKL with Intel compiler
 FFT_LIB =       -lmkl_gf_lp64 -lmkl_sequential -lmkl_core     # MKL with GNU compiler
 FFT_LIB =       -lcufft             # cuFFT (for GPUs using the KOKKOS package) :pre
@@ -119,6 +121,9 @@ library libfftw3f.a
 make clean
 ./configure --enable-single; make; make install :pre
 
+When using -DFFT_FFTW_THREADS you need to also have the FFTW3
+OpenMP thread interface libraries available.
+
 Performing 3d FFTs requires communication to transpose the 3d FFT
 grid.  The data packing/unpacking for this can be done in one of 3
 modes (ARRAY, POINTER, MEMCPY) as set by the FFT_PACK syntax above.
diff --git a/src/KOKKOS/fft3d_kokkos.h b/src/KOKKOS/fft3d_kokkos.h
index c68d78db56..8d12a3f952 100644
--- a/src/KOKKOS/fft3d_kokkos.h
+++ b/src/KOKKOS/fft3d_kokkos.h
@@ -26,7 +26,9 @@
 #endif
 
 #ifdef FFT_FFTW_THREADS
-#define FFT_FFTW3
+#if !defined(FFT_FFTW3)
+#error "Must use -DFFT_FFTW3 with -DFFT_FFTW_THREADS"
+#endif
 #endif
 
 #if defined(FFT_MKL)
diff --git a/src/KSPACE/fft3d.cpp b/src/KSPACE/fft3d.cpp
index 7d3c8c83f2..a0abd50c01 100644
--- a/src/KSPACE/fft3d.cpp
+++ b/src/KSPACE/fft3d.cpp
@@ -25,6 +25,9 @@
 #include <cmath>
 #include "fft3d.h"
 #include "remap.h"
+#if defined(_OPENMP)
+#include <omp.h>
+#endif
 
 #ifdef FFT_KISS
 /* include kissfft implementation */
@@ -266,7 +269,7 @@ struct fft_plan_3d *fft_3d_create_plan(
        int scaled, int permute, int *nbuf, int usecollective)
 {
   struct fft_plan_3d *plan;
-  int me,nprocs;
+  int me,nprocs,nthreads;
   int flag,remapflag;
   int first_ilo,first_ihi,first_jlo,first_jhi,first_klo,first_khi;
   int second_ilo,second_ihi,second_jlo,second_jhi,second_klo,second_khi;
@@ -279,6 +282,14 @@ struct fft_plan_3d *fft_3d_create_plan(
   MPI_Comm_rank(comm,&me);
   MPI_Comm_size(comm,&nprocs);
 
+#if defined(_OPENMP)
+  // query OpenMP info.
+  // should have been initialized systemwide in Comm class constructor
+  nthreads = omp_get_max_threads();
+#else
+  nthreads = 1;
+#endif
+
   // compute division of procs in 2 dimensions not on-processor
 
   bifactor(nprocs,&np1,&np2);
@@ -571,6 +582,13 @@ struct fft_plan_3d *fft_3d_create_plan(
   */
 
 #elif defined(FFT_FFTW3)
+#if defined(FFT_FFTW_THREADS)
+  if (nthreads > 1) {
+    FFTW_API(init_threads)();
+    FFTW_API(plan_with_nthreads)(nthreads);
+  }
+#endif
+
   plan->plan_fast_forward =
     FFTW_API(plan_many_dft)(1, &nfast,plan->total1/plan->length1,
                             NULL,&nfast,1,plan->length1,
@@ -689,6 +707,9 @@ void fft_3d_destroy_plan(struct fft_plan_3d *plan)
   FFTW_API(destroy_plan)(plan->plan_mid_backward);
   FFTW_API(destroy_plan)(plan->plan_fast_forward);
   FFTW_API(destroy_plan)(plan->plan_fast_backward);
+#if defined(FFT_FFTW_THREADS)
+  FFTW_API(cleanup_threads)();
+#endif
 #else
   if (plan->cfg_slow_forward != plan->cfg_fast_forward &&
       plan->cfg_slow_forward != plan->cfg_mid_forward) {