Electrowetting liquid lens is a type of lens that can change its own optical power by changing the applied voltage at both ends，without changing the optical spacing. Therefore，the zoom optical system designed based on liquid lenses can greatly reduce the complexity of traditional mechanical zoom optical systems. This article is based on the Corning A39 liquid lens and uses ZEMAX simulation to design a small binary single liquid lens zoom optical system with a focal length variation of 16~32 mm，field of view angle variation of 32°~16.36°，zoom ratio of 2，short focal F-number of 6.3，long focal F-number of 12.8，and a maximum aperture of 10mm within a 20 D range of optical power variation.