Laser imaging fuse has a strong anti-stealth and anti-electromagnetic interference capacity. In the application of laser imaging fuse to air-to-air missile the design problems of fuse front rake and fuse detection range have to be solved. Based on analyzing the principle of the push-broom method laser imaging fuse, the measurement model of laser footprint size and the mathematic model of fuse front rake and fuse detection range are established. The design criterion of fuse front rake and fuse detection range and their relationship to fuse-warhead match by simulation in variety conditions are acquired, which provide a reference in theory to the application of laser imaging fuse in air-to-air missile.