We　present　an　efficient　protocol　to　rapidly　generate　a　three-dimensional　entangled　state　for　two　atoms　trapped　in　a　cavity　with　quantum　Zeno　dynamics　and　Lewis–Riesenfeld　invariants.　The　required　time　for　the　protocol　is　much　shorter　than　that　with　adiabatic　passage.　The　influence　of　various　decoherence　processes　such　as　atomic　spontaneous　emission　and　photon　loss　on　the　fidelity　of　the　three-dimensional　entangled　state　is　investigated.　Numerical　simulation　demonstrates　that　the　protocol　is　robust　against　both　the　atomic　spontaneous　emission　and　cavity　decay.　Different　from　Lin　et　al.　(J　Opt　Soc　Am　B　33(4):519–524,　2016),　the　three-dimensional　entangled　state　can　be　fast　generated　with　only　one　step.　Furthermore,　the　protocol　can　be　generalized　to　generate　N-dimensional　entanglement　state.　Therefore,　we　hope　the　protocol　may　be　useful　in　quantum　information　field.　©　2016,　Springer　Science+Business　Media　New　York.