Si-and　Ge-based　materials　have　been　regarded　as　the　prospective　anode　materials　when　applied　on　lithium-ion　batteries　(LIBs)　owing　to　their　advantage　on　high　theoretical　capacity.　Nevertheless,　its　practical　application　hindered　by　the　poor　cycling　performance　which　was　resulted　by　huge　volume　expansion.　In　the　present　work,　a　composite　of　Ge/Si@NC/rGO　has　been　synthesized　by　using　a　simple　synthetic　route,　and　exhibited　a　high　initial　Coulombic　efficiency　of　85%　and　a　better　cycling　performance.　It　can　retain　a　high　capacity　of　1301.7　mA　h　g(-1)　after　500　cycles　with　an　initial　Coulombic　efficiency　of　83%　even　at　a　high　current　density　of　1　A　g(-1).　The　synergistic　effect　of　Ge　and　Si　might　play　a　great　role　in　the　composite,　in　which　Ge　could　improve　the　conductivity　and　Si　could　increase　the　capacity.　In　addition,　the　existence　of　rGO　and　N-doped　carbon　matrix　could　accelerate　the　transport　of　electrons　and　lithium　ions　inside　electrode,　and　effectively　suppressed　volume　change　after　the　constantly　lithiation　and　de-lithiation.