This paper proposed a space-time cooperative guidance method to address the insufficient intelligent guidance of existing missile systems when facing complex threats. Firstly, a double-layer terminal guidance law structure satisfying space-time cooperative constraints is constructed to comprehensively consider the dynamic game relationship. Subsequently, in the LOS direction, a cooperative guidance law is designed based on the finite time multi-agent consensus protocol. In the LOSN direction, the normed differential game theory is introduced to solve the bilateral optimal strategy for dynamic game between missiles and target, obtaining a terminal guidance law with zero control LOS angular velocity symbol value. This enhances the effectiveness and stability of cooperative guidance, effectively addressing complex guidance scenarios. Finally, simulation experiments are set to validate the proposed method. This research provides a new solution for intelligent guidance of multi-missile systems, which has important theoretical reference and engineering application value.