diff --git a/scripts/toolchains/freebsd.cmake b/scripts/toolchains/freebsd.cmake
index 016b2f1522..22cb5eefdb 100644
--- a/scripts/toolchains/freebsd.cmake
+++ b/scripts/toolchains/freebsd.cmake
@@ -5,6 +5,18 @@ if(CMAKE_HOST_SYSTEM_NAME STREQUAL "FreeBSD")
 endif()
 set(CMAKE_SYSTEM_NAME FreeBSD CACHE STRING "")
 
+if(NOT DEFINED CMAKE_SYSTEM_PROCESSOR)
+    if(VCPKG_TARGET_ARCHITECTURE STREQUAL "x64")
+       set(CMAKE_SYSTEM_PROCESSOR x86_64 CACHE STRING "")
+    elseif(VCPKG_TARGET_ARCHITECTURE STREQUAL "x86")
+       set(CMAKE_SYSTEM_PROCESSOR x86 CACHE STRING "")
+    elseif(VCPKG_TARGET_ARCHITECTURE STREQUAL "arm64")
+       set(CMAKE_SYSTEM_PROCESSOR arm64 CACHE STRING "")
+    else()
+       set(CMAKE_SYSTEM_PROCESSOR "${CMAKE_HOST_SYSTEM_PROCESSOR}" CACHE STRING "")
+    endif()
+endif()
+
 get_property( _CMAKE_IN_TRY_COMPILE GLOBAL PROPERTY IN_TRY_COMPILE )
 if(NOT _CMAKE_IN_TRY_COMPILE)
     string(APPEND CMAKE_C_FLAGS_INIT " -fPIC ${VCPKG_C_FLAGS} ")
diff --git a/scripts/toolchains/openbsd.cmake b/scripts/toolchains/openbsd.cmake
index d606e8307d..8046628a1e 100644
--- a/scripts/toolchains/openbsd.cmake
+++ b/scripts/toolchains/openbsd.cmake
@@ -1,18 +1,30 @@
 if(NOT _VCPKG_OPENBSD_TOOLCHAIN)
 set(_VCPKG_OPENBSD_TOOLCHAIN 1)
-
+
 if(CMAKE_HOST_SYSTEM_NAME STREQUAL "OpenBSD")
     set(CMAKE_CROSSCOMPILING OFF CACHE BOOL "")
 endif()
 set(CMAKE_SYSTEM_NAME OpenBSD CACHE STRING "")
 
+if(NOT DEFINED CMAKE_SYSTEM_PROCESSOR)
+    if(VCPKG_TARGET_ARCHITECTURE STREQUAL "x64")
+       set(CMAKE_SYSTEM_PROCESSOR x86_64 CACHE STRING "")
+    elseif(VCPKG_TARGET_ARCHITECTURE STREQUAL "x86")
+       set(CMAKE_SYSTEM_PROCESSOR x86 CACHE STRING "")
+    elseif(VCPKG_TARGET_ARCHITECTURE STREQUAL "arm64")
+       set(CMAKE_SYSTEM_PROCESSOR arm64 CACHE STRING "")
+    else()
+       set(CMAKE_SYSTEM_PROCESSOR "${CMAKE_HOST_SYSTEM_PROCESSOR}" CACHE STRING "")
+    endif()
+endif()
+
 if(NOT DEFINED CMAKE_CXX_COMPILER)
     set(CMAKE_CXX_COMPILER "/usr/bin/clang++")
 endif()
 if(NOT DEFINED CMAKE_C_COMPILER)
     set(CMAKE_C_COMPILER "/usr/bin/clang")
 endif()
-
+
 get_property( _CMAKE_IN_TRY_COMPILE GLOBAL PROPERTY IN_TRY_COMPILE )
 if(NOT _CMAKE_IN_TRY_COMPILE)
     string(APPEND CMAKE_C_FLAGS_INIT " -fPIC ${VCPKG_C_FLAGS} ")