In order to achieve synchronized attack timing, a novel bias proportional guidance(BPG) law is proposed to address the terminal strike problem encountered by multiple loitering munition(LM). Drawing upon the consistency theory of second-order systems, a consistency algorithm incorporating saturation odd function and fast convergence odd function is devised, with its convergence being proven through Lyapunov function analysis. By leveraging the relative motion model of LM-target, the BPG law is derived from the lateral error equation in the Speed-LOS axes and subsequently projected onto the reference coordinate system. Simulation results demonstrate that this designed guidance law maintains drop point errors within one meter while exhibiting robustness against communication adjacency matrix switching and noise interference, thereby enabling successful cooperative strike missions for multiple LM.