Surface to air missile weapon system is an important combat power of modern air defense system. It plays a pivotal role in modern warfare that launches a missile from ground to intercept the enemy. By summarizing the damage threats of surface to air missile weapon system and analysing anti-damage capability requirement of surface to air missile weapon system, the evaluation index system of anti damage capability of surface to air missile weapon system was constructed. The evaluation model of anti-damage capability based on grey clustering and adjacent membership degrees entropy was established, and the evaluation model was used to evaluate the anti-damage capability of ground to air missile weapon system. The feasibility of evaluation model and method were examined by an example.