Because of the limitation of the long-range detection capability of airborne sensors, it is very difficult for a single interceptor to achieve accurate mid-course guidance, especially for the long and medium range interceptors, and the maneuvering or invisible targets. As one of the solutions, the strategy of multi-interceptor cooperative intercepting can overcome the shortages of single-interceptor. Unfortunately, the existing mid-course guidance laws can't meet the requirements of cooperative intercepting strategy. To solve the problem, a novel cooperative mid-course guidance law is proposed in this paper by combining the traditional trajectory shaping guidance law and the cooperative parameter. Firstly, the cooperative midcourse guidance law is designed, and consensus of cooperative parameter characteristics is proved then. Secondly, the general expression of cooperative parameter and its convergence speed is analyzed. Finally, numeral simulations demonstrate the effectiveness and advantages of the proposed cooperative mid-course guidance law. INDEX TERMS Cooperative mid-course guidance law, trajectory shaping guidance law, maneuvering target.