diff --git a/CMake/FindFFTW.cmake b/CMake/FindFFTW.cmake
index 709c0cd..64baa8e 100644
--- a/CMake/FindFFTW.cmake
+++ b/CMake/FindFFTW.cmake
@@ -30,7 +30,27 @@
 ## to set the initial value of the CMake variable `MKLROOT` (see
 ## https://software.intel.com/en-us/mkl-linux-developer-guide-scripts-to-set-environment-variables).
 
-if(ITK_USE_FFTWD OR ITK_USE_FFTWF)
+set(FFTW_INCLUDE "")
+if(ITK_USE_CUFFTW)
+  find_package(CUDAToolkit REQUIRED)
+  find_path(CUFFTW_INCLUDE_PATH cufftw.h PATHS ${CUDAToolkit_INCLUDE_DIRS} NO_DEFAULT_PATH REQUIRED)
+  set(FFTW_INCLUDE ${CUFFTW_INCLUDE_PATH})
+  set(FFTWD_LIBRARIES CUDA::cufftw)
+  set(FFTWD_FOUND 1)
+  set(FFTWF_LIBRARIES CUDA::cufftw)
+  set(FFTWF_FOUND 1)
+elseif(ITK_USE_FFTWD OR ITK_USE_FFTWF)
+  find_path(FFTW_INCLUDE_PATH fftw3.h REQUIRED)
+  set(FFTW_INCLUDE ${CUFFTW_INCLUDE_PATH})
+  if(ITK_USE_FFTWD)
+    find_package(FFTWD NAMES FFTW3 CONFIG REQUIRED)
+    set(FFTWD_LIBRARIES FFTW3::fftw3)
+  endif()
+  if(ITK_USE_FFTWF)
+    find_package(FFTWF NAMES FFTW3f CONFIG REQUIRED)
+    set(FFTWF_LIBRARIES FFTW3::fftw3f)
+  endif()
+elseif(0)
 
   if(ITK_USE_MKL)
     # If the user has provided the MKL include path then search nearby for library files
diff --git a/CMake/ITKConfig.cmake.in b/CMake/ITKConfig.cmake.in
index 9066d4f..4ec0266 100644
--- a/CMake/ITKConfig.cmake.in
+++ b/CMake/ITKConfig.cmake.in
@@ -3,6 +3,16 @@ include(CMakeFindDependencyMacro)
 find_dependency(OpenJPEG CONFIG)
 find_dependency(VXL CONFIG)
 include("${VXL_CMAKE_DIR}/UseVXL.cmake")
+if("@ITK_USE_CUFFTW@")
+  find_dependency(CUDAToolkit)
+else()
+  if("@ITK_USE_FFTWD@")
+    find_dependency(FFTW3 CONFIG)
+  endif()
+  if("@ITK_USE_FFTWF@")
+    find_dependency(FFTW3f CONFIG)
+  endif()
+endif()
 #-----------------------------------------------------------------------------
 #
 # ITKConfig.cmake - ITK CMake configuration file for external projects.
diff --git a/Modules/Filtering/FFT/src/CMakeLists.txt b/Modules/Filtering/FFT/src/CMakeLists.txt
index 83b176c..b51bc48 100644
--- a/Modules/Filtering/FFT/src/CMakeLists.txt
+++ b/Modules/Filtering/FFT/src/CMakeLists.txt
@@ -10,6 +10,9 @@ endif()
 itk_module_add_library(ITKFFT ${ITKFFT_SRCS})
 
 # this library is only needed if FFTW is used
+if(ITK_USE_CUFFTW)
+  target_link_libraries(ITKFFT LINK_PUBLIC CUDA::cufftw)
+endif()
 if(ITK_USE_FFTWF
    OR ITK_USE_FFTWD
    AND NOT ITK_USE_CUFFTW)