diff --git a/meta/recipes-kernel/linux/files/debian/control.tmpl b/meta/recipes-kernel/linux/files/debian/control.tmpl
index 6f8f8afe..e0e932a0 100644
--- a/meta/recipes-kernel/linux/files/debian/control.tmpl
+++ b/meta/recipes-kernel/linux/files/debian/control.tmpl
@@ -51,9 +51,19 @@ Description: Linux kernel debugging symbols for @KR@
  all the necessary debug symbols for the kernel and its modules.
 
 Package: linux-kbuild-${KERNEL_NAME_PROVIDED}
-Build-Profiles: <kbuild>
+Build-Profiles: <kbuild !cross>
 Architecture: any
 Depends: ${perl:Depends}, ${shlib:Depends}
 Description: ${KERNEL_NAME_PROVIDED} Linux kbuild scripts and tools for @KR@
  This package provides kernel kbuild scripts and tools for @KR@
  This is useful for people who need to build external modules
+
+Package: linux-kbuild-${KERNEL_NAME_PROVIDED}-${DISTRO_ARCH}-cross
+Build-Profiles: <kbuild cross>
+Architecture: any
+Multi-Arch: foreign
+Depends: ${perl:Depends}, ${shlib:Depends}
+Conflicts: linux-kbuild-${KERNEL_NAME_PROVIDED}
+Description: ${KERNEL_NAME_PROVIDED} Linux kbuild scripts and tools for @KR@
+ This package provides kernel kbuild scripts and tools for @KR@
+ This is useful for people who need to build external modules
diff --git a/meta/recipes-kernel/linux/files/debian/isar/common.tmpl b/meta/recipes-kernel/linux/files/debian/isar/common.tmpl
index e3a1d8a0..86af70c5 100644
--- a/meta/recipes-kernel/linux/files/debian/isar/common.tmpl
+++ b/meta/recipes-kernel/linux/files/debian/isar/common.tmpl
@@ -11,6 +11,7 @@ KERNEL_PKG_KERN_HEADERS=linux-headers-${KERNEL_NAME_PROVIDED}
 KERNEL_PKG_LIBC_HEADERS=linux-libc-dev
 KERNEL_PKG_LIBC_HEADERS_CROSS=linux-libc-dev-${DISTRO_ARCH}-cross
 KERNEL_PKG_KERN_KBUILD=linux-kbuild-${KERNEL_NAME_PROVIDED}
+KERNEL_PKG_KERN_KBUILD_CROSS=${KERNEL_PKG_KERN_KBUILD}-${DISTRO_ARCH}-cross
 
 # Force creating debian package with valid host arch for -native build
 # Use a cross build to comply with arch specific kernel defconfigs
@@ -32,6 +33,7 @@ deb_kern_hdr_dir=${deb_top_dir}/${KERNEL_PKG_KERN_HEADERS}
 deb_libc_hdr_dir=${deb_top_dir}/${KERNEL_PKG_LIBC_HEADERS}
 deb_libc_hdr_cross_dir=${deb_top_dir}/${KERNEL_PKG_LIBC_HEADERS_CROSS}
 deb_kern_kbuild_dir=${deb_top_dir}/${KERNEL_PKG_KERN_KBUILD}
+deb_kern_kbuild_cross_dir=${deb_top_dir}/${KERNEL_PKG_KERN_KBUILD_CROSS}
 
 # Array of packages to be generated
 declare -A kern_pkgs
diff --git a/meta/recipes-kernel/linux/files/debian/isar/install.tmpl b/meta/recipes-kernel/linux/files/debian/isar/install.tmpl
index 77856aee..00011517 100644
--- a/meta/recipes-kernel/linux/files/debian/isar/install.tmpl
+++ b/meta/recipes-kernel/linux/files/debian/isar/install.tmpl
@@ -35,7 +35,11 @@ do_install() {
 
     if echo "${DEB_BUILD_PROFILES}" | grep -q "kbuild"; then
         # Install kernel scripts and tools
-        install_kbuild ${deb_kern_kbuild_dir}
+        if echo "${DEB_BUILD_PROFILES}" | grep -q "cross"; then
+            install_kbuild ${deb_kern_kbuild_cross_dir}
+        else
+            install_kbuild ${deb_kern_kbuild_dir}
+        fi
     fi
 
     if echo "${DEB_BUILD_PROFILES}" | grep -q "kernel"; then
diff --git a/meta/recipes-kernel/linux/linux-custom.inc b/meta/recipes-kernel/linux/linux-custom.inc
index 3fd0c6c2..c54c287f 100644
--- a/meta/recipes-kernel/linux/linux-custom.inc
+++ b/meta/recipes-kernel/linux/linux-custom.inc
@@ -111,9 +111,6 @@ BBCLASSEXTEND:append:cross-profile = " kbuildtarget"
 # build only kernel with the default variant of the recipe
 BUILD_PROFILES:cross-profile = "kernel"
 
-# Select correct kbuild package for isar cross-build
-HEADERS_DEPENDS:cross-profile = ", linux-kbuild-${KERNEL_NAME_PROVIDED}:${HOST_ARCH} | linux-kbuild-${KERNEL_NAME_PROVIDED}"
-
 # -native: kbuild package for host
 BUILD_PROFILES:class-native = "kbuild"
 RECIPE_PROVIDES:class-native = " \
@@ -151,7 +148,7 @@ RECIPE_PROVIDES:remove:cross-profile = " \
     linux-kbuild-${KERNEL_NAME_PROVIDED}"
 
 # Append headers depends
-HEADERS_DEPENDS = ", linux-kbuild-${KERNEL_NAME_PROVIDED}"
+HEADERS_DEPENDS = ", linux-kbuild-${KERNEL_NAME_PROVIDED} | linux-kbuild-${KERNEL_NAME_PROVIDED}-${DISTRO_ARCH}-cross"
 KERNEL_HEADERS_DEBIAN_DEPENDS:append = "${HEADERS_DEPENDS}"
 
 # Append provides