Provided is an apparatus for controlling a driving speed of an antenna of a mobile satellite travelling in an orbit. The apparatus may include a calculator configured to calculate an azimuth position range and an elevation position range for an effective beam width of the antenna based on an antenna orientation at which the antenna of the mobile satellite is oriented correctly to a ground station from a point in the orbit, and a controller configured to control a speed of the antenna based on a first azimuth in the azimuth position range and a first elevation in the elevation position range.