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The traditional air defense and anti-missile operation effectiveness evaluation is restricted to the physical dimension. Under the view of multi-dimensional battlespace, this paper establishes a multi-dimensional operation effectiveness evaluation model based on the four stages of perception, cognition, decision-making and action of joint air defense and anti-missile. The effectiveness of joint air defense and anti-missile operation is evaluated from two aspects: the elements and system of joint air defense and anti-missile operation, that is, the comprehensive evaluation is carried out through the six dimensional spatial elements of surface-to-air dimension, vertical dimension, network-electricity dimension, information system dimension, decision knowledge dimension and strategy decision dimension. According to the actual operational situation of the joint air defense and anti-missile operation, weights of three group indexes are established, and the overall effectiveness of the joint air defense and anti-missile operation is evaluated through grey correlation analysis, then the simulation experiments and countermeasures are analyzed.