For　a　two-level　system,　it　is　believed　that　a　far-off-resonant　driving　cannot　help　coherent　population　transfer　between　two　states.　In　this　work,　we　propose　a　scheme　to　implement　the　coherent　transfer　with　far-off-resonant　driving.　The　scheme　works　well　with　both　constant　driving　and　Gaussian　driving.　The　total　time　to　finish　population　transfer　is　also　minimized　by　optimizing　the　detuning　and　coupling　constants.　We　find　that　the　scheme　is　sensitive　to　spontaneous　emission　much　more　than　dephasing.　It　might　find　potential　applications　in　X-ray　quantum　optics　and　population　transfer　in　Rydberg　atoms　as　well.　(C)　2016　Optical　Society　of　America