The design of game guidance law was proposed for multiple missile cooperative engagement.By considering the multiple missiles as a pure cooperative group with unite promise,the pursuit-evasion model was built in the light of game theory,then the strategy choice problem at every moment was converted to the form of matrix countermeasure,and the strategy solution was educed by use of elimination method,thus the real time strategy was put forward.Simulation results show that the multiple missiles can surround a target and attack it；therefore it can offer a reference for engineering application.