diff --git a/kiss b/kiss
index 05d74bd..9ca7005 100755
--- a/kiss
+++ b/kiss
@@ -138,11 +138,12 @@ run_hook() {
 
 decompress() {
     case $1 in
-        *.bz2)      bzip2 -d ;;
-        *.xz)       xz -dcT 0 ;;
-        *.tgz|*.gz) gzip -d ;;
-        *.zst)      zstd -dc ;;
-        *.tar)      cat ;;
+        *.bz2)       bzip2 -d ;;
+        *.xz)        xz -dcT 0 ;;
+        *.tgz|*.gz)  gzip -d ;;
+        *.zst)       zstd -dc ;;
+        *.lzma|*.lz) lzma -dc  ;;
+        *.tar)       cat ;;
     esac < "$1"
 }
 
@@ -600,10 +601,11 @@ pkg_tar() (
 
     # Create a tarball from the contents of the built package.
     "$tar" cf - . | case ${KISS_COMPRESS:=gz} in
-        bz2) bzip2 -z ;;
-        gz)  gzip -6  ;;
-        xz)  xz -zT 0 ;;
-        zst) zstd -z  ;;
+        bz2)  bzip2 -z ;;
+        gz)   gzip -6  ;;
+        xz)   xz -zT 0 ;;
+        zst)  zstd -z  ;;
+        lzma) lzma -z  ;;
     esac > "$bin_dir/$1#$version-$release.tar.${KISS_COMPRESS:=gz}"
 
     log "$1" "Successfully created tarball"
diff --git a/kiss.1 b/kiss.1
index 161660d..a743dee 100644
--- a/kiss.1
+++ b/kiss.1
@@ -101,7 +101,7 @@ export KISS_KEEPLOG=0
 
 # Compression method to use for package tarballs.
 #
-# Valid options: 'bz2', 'gz' (default), 'xz', 'zst'
+# Valid options: 'bz2', 'gz' (default), 'lzma', 'xz', 'zst'
 export KISS_COMPRESS=gz
 
 # Keep build, package and extraction cache directories for debugging