This　paper　proposes　an　alternative　scheme　for　generating　four-photon　W　state　via　cavity　QED.　The　scheme　bases　on　the　resonant　interaction　of　a　Lambda-type　three　level　atom　with　two　bimodal　cavities.　The　detection　of　atom　collapses　the　cavity　to　the　desired　state.　Comparing　with　previous　schemes,　the　advantage　of　this　scheme　is　that　the　interaction　time　can　be　greatly　shortened　since　it　uses　the　resonant　interaction　between　atom　and　cavities.　Moreover,　the　proposed　scheme　is　more　experimentally　feasible　than　the　previous　ones.