Abstract: The intercepting problem for maneuvering target of multiple missiles is investigated. A cooperative differential game guidance method is proposed. The kinematic model of multiple missiles intercepting the maneuvering target is constructed in twodimensional space. The cooperative interception cost function is designed by considering interception constraint, cooperative constraint and energy constraint. By constructing Hamiltonian function and using the minimum principle, the cooperative differential game guidance law is obtained for multiple missile. The effectiveness of the cooperative differential game guidance law is proved by the simulation results.