Multi-level　economic　lot-sizing　models　have　been　extensively　investigated　under　different　multi-level　structure　assumptions.　In　this　paper,　we　consider　the　cooperative　game　associated　with　the　multi-level　economic　lot-sizing　problem.　We　present　a　cost-sharing　method　for　the　multi-level　economic　lot-sizing　game,　under　a　mild　condition,　which　is　cross-monotonic,　competitive,　and　approximate　cost　recovery.