Abstract： A Leslie-Cower predator-prey model with birth pulse is investigated. By the stroboscopic map, we obtain an exact periodic solution of the system which has Ricker function or Beverton-Holt function. Further, by Floquet theorem and comparison theorem, we discuss the extinction and permanence of the system. Finally, by numeri-cally analyzing the bifurcation diagrams with bifurcation parameter b (or p ), we know birth pulse brings the system complexly dynamic behaviors including period-doubling route, chaos and periodic windows within the chaotic region.