Abstract: Zoom optics system must also meet requirements of image stabilization while correcting aberration, compensating or eliminating offset from receiver due to movement of components in optical system. Based on principle of dynamic optical image stabilization, stabilization equation of zoom optical system is deduced, mathematical model of zoom optical system is established, and cam curve of optical system is designed. Dynamic analysis process of zoom lens is given. Optical design software CODE V is used to finally obtain zoom objective with zoom magnification of 8.15^× and focal length range of 27 mm to 220 mm, fixed F^# number 4.2 and radial fields 4.12°~33.56°. Calculation method of cam curve, CODE V image quality analysis and MTF are given.