We　propose　a　protocol　to　generate　four-atom　entangled　decoherence-free　states　trapped　in　distant　cavities　by　using　the　interference　of　polarized　photons.　The　protocol　uses　the　effects　of　quantum　statistics　of　indistinguishable　photons　emitted　by　the　atoms　inside　optical　cavities.　In　the　Lamb-Dicke　limit,　the　protocol　does　not　require　the　simultaneous　click　of　detectors.　This　makes　the　protocol　more　realizable　in　experiments.