To reduce the dynamic responding time of cryogenic valve, and improve the reliability and security of cryogenic valve, depending on the operation principle of cryogenic valve, a dynamic responding transferring non-linear function and dynamic responding model of cryogenic valve were built based on kinetics theory. Afterwards, by means of Runge-Kutta solution method, a dynamic recursive four stages Runge-Kutta solution method was constructed by the introducing of changed step length coefficient and oblivion coefficient. Finally, this method was demonstrated and validated by a sample. Consequently, this method has provide a support for reducing dynamic responding time of cryogenic valve, and has provide an approach to rationally and exactly evaluating reliability and security of cryogenic valve.