We　propose　a　scheme　for　the　generation　of　three　atom　W　states　via　the　microtoroidal　cavity-atom　coupling　system.　This　scheme　can　also　be　generalized　to　multi-atom　W　states.　In　this　paper,　three-atom　resonant　interact　simultaneously　with　two　counterpropagating　cavity　modes　which　can　be　produced　by　embedding　Bragg　grating　in　the　microtoroidal.　A　single　resonant　interaction　is　required,　thus　this　scheme　is　simple.　Moreover,　the　required　time　to　complete　the　whole　process　almost　unchanges　with　increasing　the　number　of　atoms