A novel inverted telephoto four mirror zoom system with large field of view (FOV) was designed over a wide spectral bandwidth. The initial configuration of the zoom system was obtained by applying the aberration equations under certain constraints. Then, a method was presented to correlate the aspheric coefficients with the aberrations of this system. By using this method, the required image quality could be achieved after optimization using the ZEMAX Optical Design Code. Besides good image quality, another benefits of using this system is the potential for using cheap optics.