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A nonsingular distributed cooperative terminal guidance law is proposed for the problem of multiple missiles attacking ground stationary target simultaneously. By selecting the estimated attack time as consistency variable, the consistency algorithm is combined with nonsingular guidance law, and the limitation caused by the assumption of small angle and specified attack time can be avoided. The closed-loop stabilities of the consensus error and the lead angle are proved based on Lyapunov stability theory, which can verify the effectiveness of the proposed distributed cooperative guidance law. Numerical contrast simulations further verify that the miss distance of the designed guidance law under large initial lead angle is one order of magnitude smaller than that of the compared distributed guidance law, demonstrating the effectiveness and superiority of the proposed guidance law.