Abstract: A kind of random maneuver penetration strategy with unknown maneuver law is studied. The randomicity of the maneuver can ensure the missile's high penetration probability. In analyzing the model of interception-penetration, linearplanar relative movement equation was used. Using the adjoint system method, analytical solutions of interceptor's root-mean-square miss distance are derived from the case where the penetration missile adopt random maneuver strategy. The effect on the interceptor's root-mean-square miss distance for the change of some parameters is analyzed. Using penetration probability as the evaluation criterion, the validity of random maneuver strategy with the flight time in normal distribution is discussed.