A math model of cube corner retroreflector (CCR) with dihedral angles errors is built with matrix optics and vector operating methods. A numerical simulation method for studying the characters of beam reflected by CCR is presented. The characters of intensity distribution of the beam reflected by CCR at several propagation distance is simulated with numeric method. The propagation property and characters of energy profile in near field or far-field are studied. According to the condition of velocity aberration compensation, the design of the CCR for satellite aboard is discussed.