The spatial positioning model of the fragment perforation on the randomly scattered target plate in the explosion center coordinate system after the static explosion of the explosive warhead is investigated. Assuming that the fragment perforation is formed in the position of the target plate before static explosion, the principle of spatial positioning of the randomly scattered target plate is designed. Combined with coordinate system transformation and plane projective transformation, the spatial positioning model of randomly scattered target plate after static explosion is constructed to realize the spatial positioning of the center of explosion coordinate system for fragment perforation. Through the simulated scene experiment, the fragment perforation space coordinates mapped by the target plate spatial positioning model are given, and the spatial positioning model of the randomly scattered target plate are verified.