The rapid force is one of the necessary physical fitness for a quality wrestler. In the increasing fierce competition of modern Greco-roman wrestling, the motion conversion becomes more and more quickly, so the rapid force for a quality wrestler also has set higher requirements. This paper studies speed-strength quality of Greco-roman Style Wrestlers required by using literature, access, experimental, logical analysis and mathematical statistics to provide some references and recommendations for coaches＇ scientific guidance the athletes in speed-strength training.