Summary: A prey-predator system with sex-structured and time delay is established. The existence and stability of the equilibria are studied, and sufficient conditions for the occurring of local Hopf bifurcation are obtained. The properties (type, direction and stability) of the Hopf bifurcating periodic solution are analyzed by center manifold theorem. Numerical examples are carried out to illustrate the theoretical results. It is shown that the system considered here has more complicated dynamics, such as higher-order periodic and quasi-periodic oscillations, chaotic oscillations and period-doubling bifurcation, etc; and it is shown that impulsive control can improve the stability of the system effectively.