Abstract: Based on performance and application requirements of acousto-optic turnable filter (AOTF) spectral camera, the positive mechanical compensation was introduced to achieve a visible optical system which was 10 continuous zoom configuration with high speed. Details were given to present the process of focal power distribution and computation of initial structure, the simulation was conducted with Zemax to show the results. Then the image quality evaluation was done, the cam curve was solved and the aberration was analyzed. Results show that the system can realize 30 nm~300 mm continuous zoom at 0.38 m~0.7 m, and the maximum modulation transfer function (MTF) is 0.7 at 50 lp/mm . The system is characterized by large zoom ratio and smooth cam curve, which make the system reach the target of AOTF spectral camera.