Cooperative guidance of multiple glide bombs is a current problem of great interest, which has numerous nonlinear equations of motion, terminal conditions, and path constraints. In this paper, for the coordinated strike problem of multiple glide bombs, a coordinated guidance law for multiple glide bombs is designed by combining the Gaussian pseudo-spectral based guidance law with the variable coordinating method. It is able to make the multiple glide bombs system hit the same target simultaneously and accurately with the specified terminal velocity, and the superiority of the proposed approach are proven by using numerical simulation.