diff --git a/GNUInstallDirs.cmake b/GNUInstallDirs.cmake
index f95e6e2c5..fbf56b86c 100644
--- a/GNUInstallDirs.cmake
+++ b/GNUInstallDirs.cmake
@@ -124,9 +124,6 @@ Macros
   absolute paths where necessary, using the same logic.
 #]=======================================================================]
 
-cmake_policy(PUSH)
-cmake_policy(SET CMP0054 NEW) # if() quoted variables not dereferenced
-
 # Convert a cache variable to PATH type
 
 macro(_GNUInstallDirs_cache_convert_to_path var description)
@@ -380,5 +377,3 @@ foreach(dir
     )
   GNUInstallDirs_get_absolute_install_dir(CMAKE_INSTALL_FULL_${dir} CMAKE_INSTALL_${dir})
 endforeach()
-
-cmake_policy(POP)
diff --git a/_unittests/test_pkg-config.cmake b/_unittests/test_pkg-config.cmake
index 97bae316a..ca33930bc 100644
--- a/_unittests/test_pkg-config.cmake
+++ b/_unittests/test_pkg-config.cmake
@@ -1,6 +1,5 @@
 include(cmake/pkg-config.cmake)
 
-cmake_policy(SET CMP0054 NEW)
 # cmake -P
 macro(EXPECT_STREQUAL _lhs _rhs)
   if(NOT "${_lhs}" STREQUAL ${_rhs})
diff --git a/base.cmake b/base.cmake
index 7ea1ba7de..c88de6f71 100644
--- a/base.cmake
+++ b/base.cmake
@@ -257,13 +257,10 @@ endmacro(
 # LIST            : the list. VALUE           : the value to be appended.
 #
 macro(_ADD_TO_LIST_IF_NOT_PRESENT LIST VALUE)
-  cmake_policy(PUSH)
-  cmake_policy(SET CMP0057 NEW)
   # To be more robust, value should be stripped
   if(NOT "${VALUE}" IN_LIST ${LIST})
     list(APPEND ${LIST} "${VALUE}")
   endif()
-  cmake_policy(POP)
 endmacro(
   _ADD_TO_LIST_IF_NOT_PRESENT
   LIST
@@ -348,12 +345,9 @@ macro(COMPUTE_PROJECT_ARGS _project_VARIABLE)
     set(_project_LANGUAGES "CXX")
   endif()
 
-  # CMake >= 3.0
-  cmake_policy(SET CMP0048 NEW)
   set(${_project_VARIABLE} VERSION ${PROJECT_VERSION_FULL} LANGUAGES
                            ${_project_LANGUAGES})
 
-  # Append description for CMake >= 3.9
   set(${_project_VARIABLE} ${${_project_VARIABLE}} DESCRIPTION
                            ${PROJECT_DESCRIPTION})
 endmacro(COMPUTE_PROJECT_ARGS)
diff --git a/boost/FindBoost.cmake b/boost/FindBoost.cmake
index 38b0d0026..4be6aedc4 100644
--- a/boost/FindBoost.cmake
+++ b/boost/FindBoost.cmake
@@ -384,8 +384,6 @@ Set ``Boost_NO_BOOST_CMAKE`` to ``ON``, to disable the search for boost-cmake.
 include(FindPackageHandleStandardArgs)
 
 # Save project's policies
-cmake_policy(PUSH)
-cmake_policy(SET CMP0057 NEW) # if IN_LIST
 if(POLICY CMP0102)
   cmake_policy(SET CMP0102 NEW) # if mark_as_advanced(non_cache_var)
 endif()
@@ -628,8 +626,6 @@ if (NOT Boost_NO_BOOST_CMAKE)
     find_package_handle_standard_args(Boost HANDLE_COMPONENTS CONFIG_MODE)
     _boost_set_legacy_variables_from_config()
 
-    # Restore project's policies
-    cmake_policy(POP)
     return()
   endif()
 endif()
diff --git a/cmake_reinstall.cmake.in b/cmake_reinstall.cmake.in
index fae9569ba..3b98befcb 100644
--- a/cmake_reinstall.cmake.in
+++ b/cmake_reinstall.cmake.in
@@ -12,7 +12,6 @@
 #
 # You should have received a copy of the GNU General Public License
 # along with this program.  If not, see <http://www.gnu.org/licenses/>.
-cmake_policy(SET CMP0007 NEW)
 if(EXISTS "@CMAKE_CURRENT_BINARY_DIR@/install_manifest.txt")
   execute_process(COMMAND "@CMAKE_COMMAND@" --build "@PROJECT_BINARY_DIR@" --target uninstall --config $<CONFIGURATION>)
 endif()
diff --git a/cmake_uninstall.cmake.in b/cmake_uninstall.cmake.in
index 2d6c62c08..1dd0999c4 100644
--- a/cmake_uninstall.cmake.in
+++ b/cmake_uninstall.cmake.in
@@ -14,7 +14,6 @@
 # along with this program.  If not, see <http://www.gnu.org/licenses/>.
 #
 # This files comes from the CMake FAQ: http://www.cmake.org/Wiki/CMake_FAQ
-cmake_policy(SET CMP0007 NEW)
 IF(NOT EXISTS "@CMAKE_CURRENT_BINARY_DIR@/install_manifest.txt")
   RETURN()
 ENDIF(NOT EXISTS "@CMAKE_CURRENT_BINARY_DIR@/install_manifest.txt")
diff --git a/cython/python/FindPython/Support.cmake b/cython/python/FindPython/Support.cmake
index 82f0493b3..e0590b3ea 100644
--- a/cython/python/FindPython/Support.cmake
+++ b/cython/python/FindPython/Support.cmake
@@ -5,7 +5,7 @@
 # This file is a "template" file used by various FindPython modules.
 #
 
-cmake_policy (VERSION 3.5)
+cmake_policy (VERSION 3.10)
 
 #
 # Initial configuration
diff --git a/find-external/OpenMP/FindOpenMP.cmake b/find-external/OpenMP/FindOpenMP.cmake
index 3b6725a16..4a66db9f6 100644
--- a/find-external/OpenMP/FindOpenMP.cmake
+++ b/find-external/OpenMP/FindOpenMP.cmake
@@ -92,11 +92,6 @@ should use the ``OpenMP_<lang>_INCLUDE_DIRS`` _output_ variable if it needs
 to know what include directories are needed.
 #]=======================================================================]
 
-cmake_policy(PUSH)
-cmake_policy(SET CMP0012 NEW) # if() recognizes numbers and booleans
-cmake_policy(SET CMP0054 NEW) # if() quoted variables not dereferenced
-cmake_policy(SET CMP0057 NEW) # if IN_LIST
-
 function(_OPENMP_FLAG_CANDIDATES LANG)
   if(NOT OpenMP_${LANG}_FLAG)
     unset(OpenMP_FLAG_CANDIDATES)
@@ -775,5 +770,3 @@ unset(OpenMP_Fortran_TEST_SOURCE)
 unset(OpenMP_C_CXX_CHECK_VERSION_SOURCE)
 unset(OpenMP_Fortran_CHECK_VERSION_SOURCE)
 unset(OpenMP_Fortran_INCLUDE_LINE)
-
-cmake_policy(POP)
diff --git a/version-script.cmake b/version-script.cmake
index 4a548a8ac..335e4a482 100644
--- a/version-script.cmake
+++ b/version-script.cmake
@@ -18,10 +18,7 @@ include(CheckCCompilerFlag)
 if(${CMAKE_VERSION} VERSION_LESS 3.18.0)
   # Do nothing
 else()
-  cmake_policy(PUSH)
-  cmake_policy(SET CMP0057 NEW) # if IN_LIST
   include(CheckLinkerFlag)
-  cmake_policy(POP)
 endif()
 
 # _CHECK_VERSION_SCRIPT_SUPPORT