This　paper　formulated　the　mesh　free　weak-strong　(MWS)　form　method　for　moderately　thick　plates　based　on　the　third　order　shear　deformation　theory　(TSDT).　The　mesh　free　collocation　method　based　on　strong　form　equations　was　applied　to　the　interior　nodes　and　the　nodes　on　the　essential　boundaries;　the　local　Petrov-Galerkin　weak　form　was　applied　only　to　the　nodes　on　natural　boundaries　of　the　problem　domain.　Using　the　moving　least　squares　method　to　construct　the　shape　function,　the　MWS　method　is　a　truly　ideal　mesh　free　method.　Examples　have　shown　that　the　proposed　method　performs　well　with　natural　and　essential　boundaries.　Besides,　the　MWS　method　has　good　efficiency　and　accuracy　for　moderately　thick　plates　bending　problems.　Results　obtained　with　regular　nodes　are　found　to　agree　well　with　the　elasticity　analytical　solution　and　with　the　results　obtained　in　the　finite　element　method.