Visual tracking is widely used in many applications such as security surveillance, robot navigation and industrial inspection. In this paper gaze and zoom controls for visual tracking with a monocular camera are considered. The gaze control keeps the camera pointing to the centroid of a moving object of interest to keep the object centered in each image. The zoom control adjusts the camera focal length to preserve the object at a desired constant image size. Both gaze control and zoom control are explicitly designed with simple formulas. Simulation results validate the controls.