diff --git a/CMakeLists.txt b/CMakeLists.txt
index 164cfa1123..16a069524c 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -401,3 +401,6 @@ if(NOT _is_multi_config_generator)
   )
   message(STATUS "PROJ: Configured 'dist' target")
 endif()
+
+configure_file(cmake/uninstall.cmake.in ${CMAKE_CURRENT_BINARY_DIR}/proj_uninstall.cmake @ONLY)
+add_custom_target(uninstall COMMAND ${CMAKE_COMMAND} -P ${CMAKE_CURRENT_BINARY_DIR}/proj_uninstall.cmake)
diff --git a/cmake/uninstall.cmake.in b/cmake/uninstall.cmake.in
new file mode 100644
index 0000000000..fc949db289
--- /dev/null
+++ b/cmake/uninstall.cmake.in
@@ -0,0 +1,66 @@
+# install_manifest.txt is created in the top build tree, not the project one
+if (NOT EXISTS "@CMAKE_BINARY_DIR@/install_manifest.txt")
+    message(FATAL_ERROR "Cannot find install manifest: \"@CMAKE_BINARY_DIR@/install_manifest.txt\"")
+endif()
+
+set(uninstall_file_list "@CMAKE_BINARY_DIR@/install_manifest.txt")
+if(EXISTS "@CMAKE_CURRENT_BINARY_DIR@/install_manifest_extra.txt")
+   list(APPEND uninstall_file_list "@CMAKE_CURRENT_BINARY_DIR@/install_manifest_extra.txt")
+endif()
+
+set(dir_list)
+foreach (manifest_file IN ITEMS ${uninstall_file_list})
+    file(READ "${manifest_file}" files)
+    string(REGEX REPLACE "\n$" "" files "${files}")
+    string(REGEX REPLACE "\n" ";" files "${files}")
+    list(REVERSE files)
+    foreach (file ${files})
+        message(STATUS "Uninstalling \"$ENV{DESTDIR}${file}\"")
+        if (IS_DIRECTORY "$ENV{DESTDIR}${file}")
+            list(APPEND dir_list "${file}")
+        elseif (EXISTS "$ENV{DESTDIR}${file}")
+            get_filename_component(dir "${file}" DIRECTORY)
+            list(APPEND dir_list "${dir}")
+            execute_process(
+                COMMAND @CMAKE_COMMAND@ -E remove "$ENV{DESTDIR}${file}"
+                OUTPUT_VARIABLE rm_out
+                RESULT_VARIABLE rm_retval
+            )
+            if(NOT ${rm_retval} EQUAL 0)
+                message(FATAL_ERROR "Problem when removing \"$ENV{DESTDIR}${file}\"")
+            endif (NOT ${rm_retval} EQUAL 0)
+        else ()
+            message(STATUS "File \"$ENV{DESTDIR}${file}\" does not exist.")
+        endif ()
+    endforeach(file)
+endforeach()
+list(REMOVE_DUPLICATES dir_list)
+
+while(NOT "${dir_list}" STREQUAL "")
+    set(new_dir_list)
+    foreach (file IN ITEMS ${dir_list})
+        if (IS_DIRECTORY "$ENV{DESTDIR}${file}" AND "${file}" MATCHES "@CMAKE_INSTALL_PREFIX@.+")
+            file(GLOB file_list "$ENV{DESTDIR}${file}/*")
+            list(LENGTH file_list file_list_len)
+            # Only remove empty directories
+            if(file_list_len EQUAL 0)
+                message(STATUS "Uninstalling \"$ENV{DESTDIR}${file}\"")
+                execute_process(
+                    COMMAND @CMAKE_COMMAND@ -E remove_directory "$ENV{DESTDIR}${file}"
+                    OUTPUT_VARIABLE rm_out
+                    RESULT_VARIABLE rm_retval
+                )
+                if(${rm_retval} EQUAL 0)
+                    get_filename_component(upper_dir "${file}" DIRECTORY)
+                    list(APPEND new_dir_list "${upper_dir}")
+                else()
+                    message(STATUS "Problem when removing directory \"$ENV{DESTDIR}${file}\"")
+                endif()
+            endif()
+        endif()
+    endforeach()
+    list(REMOVE_DUPLICATES new_dir_list)
+    set(dir_list "${new_dir_list}")
+endwhile()
+
+
diff --git a/travis/install.sh b/travis/install.sh
index 57b3857e86..ddbb7f9a03 100755
--- a/travis/install.sh
+++ b/travis/install.sh
@@ -76,6 +76,15 @@ make install
 $TRAVIS_BUILD_DIR/test/postinstall/test_cmake.sh /tmp/proj_shared_install_from_dist shared
 $TRAVIS_BUILD_DIR/test/postinstall/test_autotools.sh /tmp/proj_shared_install_from_dist shared
 
+# Test install and uninstall targets with DESTDIR
+make install DESTDIR=/tmp/destdir
+make uninstall DESTDIR=/tmp/destdir
+if [ ! -z "$(ls -A /tmp/destdir/tmp/proj_shared_install_from_dist)" ]; then
+    echo "Directory /tmp/destdir/tmp/proj_shared_install_from_dist should be empty, but its content is:"
+    find /tmp/destdir/tmp/proj_shared_install_from_dist
+    exit 1
+fi
+
 echo "Build static ${CMAKE_BUILD_TYPE} configuration from generated tarball"
 cd ..
 mkdir static_build