diff --git a/kmodtool-kmodtool b/kmodtool-kmodtool
index a379955..d008ca2 100644
--- a/kmodtool-kmodtool
+++ b/kmodtool-kmodtool
@@ -159,7 +159,7 @@ print_rpmtemplate_per_kmodpkg ()
 	cat <<EOF
 
 %if 0%{?rhel}
-%package       -n kmod-${kmodname}
+%package       -n kmod-${kmodname}-${kernel_uname_r}
 Summary:          ${kmodname} kernel module(s) for ${kernel_uname_r_short}
 Provides:         kernel-modules = ${kernel_uname_r}
 Provides:         ${kmodname}-kmod = %{?epoch:%{epoch}:}%{version}-%{release}
@@ -280,10 +280,10 @@ EOF
 	cat <<EOF
 
 %if 0%{?rhel}
-%description   -n kmod-${kmodname}
+%description   -n kmod-${kmodname}-${kernel_uname_r}
 This package provides the ${kmodname} kernel modules built for the Linux
 kernel ${kernel_uname_r_short} for the %{_target_cpu} family of processors.
-%files         -n kmod-${kmodname}
+%files         -n kmod-${kmodname}-${kernel_uname_r}
 %defattr(644,root,root,755)
 %dir ${usr_lib_modules}/${kernel_uname_r}/extra
 ${usr_lib_modules}/${kernel_uname_r}/extra/${kmodname}/