A plastic pipe reinforced by cross-winding steel wires (PSP) is composed of two layers of thermoplastic high density polyethylene (HDPE) matrix and a high strength cross-winding steel wire mesh skeleton. PSP has been widely used in construction materials and structures. Based on mechanical properties analysis of PSP and the fracture of steel wires as the failure criterion, the prediction model of short-term burst pressure at room temperature was established. It was revealed that the main factors influencing stress of steel wires were modulus of HDPE and elastic constants of composite layer. Burst experiments were conducted for PSP, and the results agree well with the theoretical results, which show that our proposed model can be employed to predict the burst pressure of PSP. Finally, the effects of the steel wire number and the winding angle on the burst pressure were analyzed.