https://github.com/HDFGroup/hdf5/pull/1716
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -46,6 +46,13 @@ if (CMAKE_VERSION VERSION_LESS "3.14.0")
   endif()
 endif ()
 
+include (GNUInstallDirs)
+set (HDF5_INSTALL_BIN_DIR "${CMAKE_INSTALL_FULL_BINDIR}")
+set (HDF5_INSTALL_DATA_DIR "${CMAKE_INSTALL_FULL_DATADIR}")
+set (HDF5_INSTALL_DOC_DIR "${CMAKE_INSTALL_FULL_DOCDIR}")
+set (HDF5_INSTALL_INCLUDE_DIR "${CMAKE_INSTALL_FULL_INCLUDEDIR}")
+set (HDF5_INSTALL_LIB_DIR "${CMAKE_INSTALL_FULL_LIBDIR}")
+
 #-----------------------------------------------------------------------------
 # Instructions for use : Sub-Project Build
 #
--- a/c++/src/CMakeLists.txt
+++ b/c++/src/CMakeLists.txt
@@ -173,8 +173,8 @@ endif ()
 #-----------------------------------------------------------------------------
 set (_PKG_CONFIG_PREFIX ${CMAKE_INSTALL_PREFIX})
 set (_PKG_CONFIG_EXEC_PREFIX \${prefix})
-set (_PKG_CONFIG_LIBDIR \${exec_prefix}/lib)
-set (_PKG_CONFIG_INCLUDEDIR \${prefix}/include)
+set (_PKG_CONFIG_LIBDIR \${exec_prefix}/${CMAKE_INSTALL_LIBDIR})
+set (_PKG_CONFIG_INCLUDEDIR \${prefix}/${CMAKE_INSTALL_INCLUDEDIR})
 set (_PKG_CONFIG_LIBNAME "${HDF5_CPP_LIB_CORENAME}")
 set (_PKG_CONFIG_VERSION "${HDF5_PACKAGE_VERSION}")
 
--- a/doxygen/CMakeLists.txt
+++ b/doxygen/CMakeLists.txt
@@ -36,7 +36,7 @@ if (DOXYGEN_FOUND)
 
   install (
       DIRECTORY ${HDF5_BINARY_DIR}/hdf5lib_docs/html
-      DESTINATION ${HDF5_INSTALL_DATA_DIR}
+      DESTINATION ${HDF5_INSTALL_DOC_DIR}
       COMPONENT Documents
   )
 
--- a/fortran/src/CMakeLists.txt
+++ b/fortran/src/CMakeLists.txt
@@ -537,8 +537,8 @@ endif ()
 #-----------------------------------------------------------------------------
 set (_PKG_CONFIG_PREFIX ${CMAKE_INSTALL_PREFIX})
 set (_PKG_CONFIG_EXEC_PREFIX \${prefix})
-set (_PKG_CONFIG_LIBDIR \${exec_prefix}/lib)
-set (_PKG_CONFIG_INCLUDEDIR \${prefix}/include)
+set (_PKG_CONFIG_LIBDIR \${exec_prefix}/${CMAKE_INSTALL_LIBDIR})
+set (_PKG_CONFIG_INCLUDEDIR \${prefix}/${CMAKE_INSTALL_INCLUDEDIR})
 set (_PKG_CONFIG_LIBNAME "${HDF5_F90_LIB_CORENAME}")
 set (_PKG_CONFIG_VERSION "${HDF5_PACKAGE_VERSION}")
 
--- a/hl/c++/src/CMakeLists.txt
+++ b/hl/c++/src/CMakeLists.txt
@@ -91,8 +91,8 @@ endif ()
 #-----------------------------------------------------------------------------
 set (_PKG_CONFIG_PREFIX ${CMAKE_INSTALL_PREFIX})
 set (_PKG_CONFIG_EXEC_PREFIX \${prefix})
-set (_PKG_CONFIG_LIBDIR \${exec_prefix}/lib)
-set (_PKG_CONFIG_INCLUDEDIR \${prefix}/include)
+set (_PKG_CONFIG_LIBDIR \${exec_prefix}/${CMAKE_INSTALL_LIBDIR})
+set (_PKG_CONFIG_INCLUDEDIR \${prefix}/${CMAKE_INSTALL_INCLUDEDIR})
 set (_PKG_CONFIG_LIBNAME "${HDF5_HL_CPP_LIB_CORENAME}")
 set (_PKG_CONFIG_VERSION "${HDF5_PACKAGE_VERSION}")
 
--- a/hl/fortran/src/CMakeLists.txt
+++ b/hl/fortran/src/CMakeLists.txt
@@ -324,8 +324,8 @@ endif ()
 #-----------------------------------------------------------------------------
 set (_PKG_CONFIG_PREFIX ${CMAKE_INSTALL_PREFIX})
 set (_PKG_CONFIG_EXEC_PREFIX \${prefix})
-set (_PKG_CONFIG_LIBDIR \${exec_prefix}/lib)
-set (_PKG_CONFIG_INCLUDEDIR \${prefix}/include)
+set (_PKG_CONFIG_LIBDIR \${exec_prefix}/${CMAKE_INSTALL_LIBDIR})
+set (_PKG_CONFIG_INCLUDEDIR \${prefix}/${CMAKE_INSTALL_INCLUDEDIR})
 set (_PKG_CONFIG_LIBNAME "${HDF5_HL_F90_LIB_CORENAME}")
 set (_PKG_CONFIG_VERSION "${HDF5_PACKAGE_VERSION}")
 
--- a/hl/src/CMakeLists.txt
+++ b/hl/src/CMakeLists.txt
@@ -123,8 +123,8 @@ endif ()
 #-----------------------------------------------------------------------------
 set (_PKG_CONFIG_PREFIX ${CMAKE_INSTALL_PREFIX})
 set (_PKG_CONFIG_EXEC_PREFIX \${prefix})
-set (_PKG_CONFIG_LIBDIR \${exec_prefix}/lib)
-set (_PKG_CONFIG_INCLUDEDIR \${prefix}/include)
+set (_PKG_CONFIG_LIBDIR \${exec_prefix}/${CMAKE_INSTALL_LIBDIR})
+set (_PKG_CONFIG_INCLUDEDIR \${prefix}/${CMAKE_INSTALL_INCLUDEDIR})
 set (_PKG_CONFIG_LIBNAME "${HDF5_HL_LIB_CORENAME}")
 set (_PKG_CONFIG_VERSION "${HDF5_PACKAGE_VERSION}")
 
--- a/src/CMakeLists.txt
+++ b/src/CMakeLists.txt
@@ -1288,8 +1288,8 @@ endif ()
 #-----------------------------------------------------------------------------
 set (_PKG_CONFIG_PREFIX ${CMAKE_INSTALL_PREFIX})
 set (_PKG_CONFIG_EXEC_PREFIX \${prefix})
-set (_PKG_CONFIG_LIBDIR \${exec_prefix}/lib)
-set (_PKG_CONFIG_INCLUDEDIR \${prefix}/include)
+set (_PKG_CONFIG_LIBDIR \${exec_prefix}/${CMAKE_INSTALL_LIBDIR})
+set (_PKG_CONFIG_INCLUDEDIR \${prefix}/${CMAKE_INSTALL_INCLUDEDIR})
 set (_PKG_CONFIG_LIBNAME "${HDF5_LIB_CORENAME}")
 set (_PKG_CONFIG_VERSION "${HDF5_PACKAGE_VERSION}")
 
--- a/CMakeInstallation.cmake
+++ b/CMakeInstallation.cmake
@@ -31,7 +31,7 @@ if (NOT HDF5_EXTERNALLY_CONFIGURED)
   if (HDF5_EXPORTED_TARGETS)
     install (
         EXPORT ${HDF5_EXPORTED_TARGETS}
-        DESTINATION ${HDF5_INSTALL_CMAKE_DIR}
+        DESTINATION ${HDF5_INSTALL_LIB_DIR}/cmake
         FILE ${HDF5_PACKAGE}${HDF_PACKAGE_EXT}-targets.cmake
         NAMESPACE ${HDF_PACKAGE_NAMESPACE}
         COMPONENT configinstall
@@ -67,12 +67,12 @@ set (HDF5_VERSION_MINOR  ${HDF5_PACKAGE_VERSION_MINOR})
 # Configure the hdf5-config.cmake file for the build directory
 #-----------------------------------------------------------------------------
 set (INCLUDE_INSTALL_DIR ${HDF5_INSTALL_INCLUDE_DIR})
-set (SHARE_INSTALL_DIR "${CMAKE_CURRENT_BINARY_DIR}/${HDF5_INSTALL_CMAKE_DIR}" )
+set (SHARE_INSTALL_DIR "${CMAKE_CURRENT_BINARY_DIR}/${HDF5_INSTALL_LIB_DIR}/cmake" )
 set (CURRENT_BUILD_DIR "${CMAKE_CURRENT_BINARY_DIR}" )
 configure_package_config_file (
     ${HDF_RESOURCES_DIR}/hdf5-config.cmake.in
     "${HDF5_BINARY_DIR}/${HDF5_PACKAGE}${HDF_PACKAGE_EXT}-config.cmake"
-    INSTALL_DESTINATION "${HDF5_INSTALL_CMAKE_DIR}"
+    INSTALL_DESTINATION "${HDF5_INSTALL_LIB_DIR}/cmake"
     PATH_VARS INCLUDE_INSTALL_DIR SHARE_INSTALL_DIR CURRENT_BUILD_DIR
     INSTALL_PREFIX "${CMAKE_CURRENT_BINARY_DIR}"
 )
@@ -81,19 +81,19 @@ configure_package_config_file (
 # Configure the hdf5-config.cmake file for the install directory
 #-----------------------------------------------------------------------------
 set (INCLUDE_INSTALL_DIR ${HDF5_INSTALL_INCLUDE_DIR})
-set (SHARE_INSTALL_DIR "${CMAKE_INSTALL_PREFIX}/${HDF5_INSTALL_CMAKE_DIR}" )
+set (SHARE_INSTALL_DIR "${CMAKE_INSTALL_PREFIX}/${HDF5_INSTALL_LIB_DIR}/cmake" )
 set (CURRENT_BUILD_DIR "${CMAKE_INSTALL_PREFIX}" )
 configure_package_config_file (
     ${HDF_RESOURCES_DIR}/hdf5-config.cmake.in
     "${HDF5_BINARY_DIR}${CMAKE_FILES_DIRECTORY}/${HDF5_PACKAGE}${HDF_PACKAGE_EXT}-config.cmake"
-    INSTALL_DESTINATION "${HDF5_INSTALL_CMAKE_DIR}"
+    INSTALL_DESTINATION "${HDF5_INSTALL_LIB_DIR}/cmake"
     PATH_VARS INCLUDE_INSTALL_DIR SHARE_INSTALL_DIR CURRENT_BUILD_DIR
 )
 
 if (NOT HDF5_EXTERNALLY_CONFIGURED)
   install (
       FILES ${HDF5_BINARY_DIR}${CMAKE_FILES_DIRECTORY}/${HDF5_PACKAGE}${HDF_PACKAGE_EXT}-config.cmake
-      DESTINATION ${HDF5_INSTALL_CMAKE_DIR}
+      DESTINATION ${HDF5_INSTALL_LIB_DIR}/cmake
       COMPONENT configinstall
   )
 endif ()
@@ -109,7 +109,7 @@ if (NOT HDF5_EXTERNALLY_CONFIGURED)
   )
   install (
       FILES ${HDF5_BINARY_DIR}${CMAKE_FILES_DIRECTORY}/${HDF5_PACKAGE}${HDF_PACKAGE_EXT}-config-version.cmake
-      DESTINATION ${HDF5_INSTALL_CMAKE_DIR}
+      DESTINATION ${HDF5_INSTALL_LIB_DIR}/cmake
       COMPONENT configinstall
   )
 endif ()