In　this　paper,　we　first　introduce　two　classes　of　weak　Hopf　algebras　of　type　,　which　are　corresponding　to　generalized　Taft　Hopf　algebras　.　Then　we　compute　their　Green　rings,　and　describe　the　structure　of　their　Green　rings　by　the　generators　and　the　generating　relations.　These　results　extend　some　known　ones　about　Taft　algebras　and　generalized　Taft　algebras.