We　propose　a　scheme　to　realize　the　quantum　state　transfer　(QST)　and　conditional　phase　gate　(CPG)　between　two　qubits　(acted　by　nitrogen-vacancy　(NV)　centers)　based　on　off-resonant　quantum　Zeno　dynamics.　We　also　consider　the　entanglement　dynamics　of　two　qubits　in　this　system.　Since　no　cavity　photons　or　excited　levels　of　the　NV　center　is　populated　during　the　whole　process,　the　scheme　is　immune　to　the　decay　of　cavity　and　spontaneous　emission　of　the　NV　center.　The　strictly　numerical　simulation　shows　that　the　fidelities　of　QST　and　CPG　are　high　even　in　the　presence　of　realistic　imperfections.　©　2016　Elsevier　B.V.