This paper investigates a control of track based on Archimedes spiral. The objective is to control UAVs (Unmanned Aerial Vehicle) circled to the target under the preset track and in a certain time interval. For the circumstance of the known location of start point and target point of UAV, we put forward a control method of angular velocity, with fixed velocity and trajectory of UAV. And in this control method, based on the nature of the Archimedes spiral, the time of UAV from the start point to the target point can be accurately calculated.