This paper proposes an alteative scheme for generating four-photon W state via cavity QED.The scheme bases on the resonant interaction of a A-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.