In order to find a more simple and effective method to solve the formula of the all lens elements movable zoom lens, in this article, the computer program is adopted. With the given initial parameters (magnification of all elements、distance), the initial data are computed for the target optical system and the system data are optimized using the restrictive conditions (two tangent data difference、curvature of the zoom curve and total length of the system) as the command. Then the optical- power distribution which satisfies the condition is given out and the data of the optical system are computed. In order to test the practivity of this method, a four movable components zoom lens is designed as an example by using the initial data, given by the computer program, on the optical design software. Comparing the data of the optical power distribution with the Zemax simulation results, we find they agree well with each other, which proves the practicality of the method.