In this paper,a predator-prey system with double Allee effects and time delay is considered.On the one hand,by using time delay as bifurcation parameter,the stability of the interior equilibrium point is studied.It is shown that under certain assumptions the equilibrium point of the delay model is local asymptotically stable for all delay values,otherwise,there is a critical value,such that the equilibrium point is local stable when time delay is less than the critical value,and Hopf bifurcation occurs when the delay crosses the critical value.