Abstract: A class of delayed diffusive predator-prey model with fear effect and prey refuge is presented and the dynamic behavior of the model are analyzed. For the case without time delay, the stability of the equilibria and the nonexistence of Turing instability are investigated. For the case with time delay, the critical value of time delay in Turing instability of the model is obtained, and the influence of time delay on the model's Turing pattern is studied by taking delay as the bifurcation parameter.