An anti-off-target control method for small video satellite target tracking based on visual field zoning was proposed to address the problem of large initial relative attitude deviation and angular velocity between small video satellite and observation targets, which can easily deviate from the camera field of view and cause off target. In this method, the rectangular imaging field of the satellite-carried camera was divided into inner and outer parts according to the tangent circle. The tracking controller of the inner and outer parts of the tangent circle was designed based on the potential function and the quasi-Euler rotation method respectively. By using the Barbalat′s lemma, the asymptotic stability of control laws in both regions was proved, and it was also proved by theory that the potential function controller can ensure that target would not leave the inscribed circle of visual field after entering it. Through controller comparison and simulation, the results show that the quasi-Euler rotation method has a stronger ability to suppress target deviation from the field of view compared with PD control. Compared with the full quasi-Euler rotation method, the field of view partition control combining the quasi-Euler rotation method and potential function method can effectively achieve anti-off-target control for faster maneuvering targets, thereby achieving continuous tracking and observation.