diff --git a/cmake/LinuxPackage.cmake b/cmake/LinuxPackage.cmake
index d7511591..4515afd8 100644
--- a/cmake/LinuxPackage.cmake
+++ b/cmake/LinuxPackage.cmake
@@ -196,7 +196,11 @@ SET(CPACK_PACKAGING_INSTALL_DIRECTORY "Coati")
 SET(CPACK_PACKAGE_VERSION ${VERSION_NUMBER})
 SET(CPACK_PACKAGE_VENDOR "Coati Software")
 SET(CPACK_INSTALL_SCRIPT "${CMAKE_SOURCE_DIR}/cmake/pre_install_linux.cmake")
-SET(CPACK_SYSTEM_NAME "${CMAKE_SYSTEM_NAME}_${CMAKE_SYSTEM_PROCESSOR}")
+if(${CMAKE_SYSTEM_PROCESSOR} STREQUAL "x86_64")
+	SET(CPACK_SYSTEM_NAME "${CMAKE_SYSTEM_NAME}_64bit")
+else()
+	SET(CPACK_SYSTEM_NAME "${CMAKE_SYSTEM_NAME}_32bit")
+endif()
 SET(CPACK_PACKAGE_FILE_NAME "Coati_${VERSION_NUMBER}_${CPACK_SYSTEM_NAME}")
 SET(CPACK_STRIP_FILES "Coati/coati")
 SET(CPACK_PACKAGE_CONTACT "astallinger@coati.io")