A method, medium, and apparatus controlling a 3D graphics accelerator. The apparatus may include a voltage controller to determine a voltage and frequency supplied to the 3D graphics accelerator by using the 3D graphics data, so that a frames per second (FPS) of the image does not exceed a predetermined threshold, and a voltage supplier to supply a voltage and the frequency to the 3D graphics accelerator. The voltage and frequency supplied to the 3D graphics accelerator may be adjusted by a DVS technique so that the FPS of the generated image does not exceed the predetermined threshold. Accordingly, it is possible to control power consumption of the 3D graphics accelerator while maintaining performance at or above a given level. In particular, it is possible to very efficiently process a small amount of 3D graphics data with low power in a portable device.