Abstract: The precise time integration algorithm is an explicit numerical integration algorithm with absolute stability,which was applied to solve the point reactor neutron kinetics equation in this paper,with the numerical examples provided.The results indicated that the precise time integration algorithm could solve the stiff problem of the point reactor neutron kinetics equation commendably in long time-step condition with additional traits such as compact computing process,fast velocity and high precision,which verifies the practicability and the availability of the method in the safety and simulation analysis of the reactor.