An image processing apparatus and its control method receives a drawing command including a moving image drawing command and a graphics drawing command and performs drawing processing. A drawing command is received, and the moving image drawing command is separated from the graphics drawing command. A graphics drawing unit obtains the result of graphics drawing in accordance with the graphics drawing command. A moving image drawing unit generates moving image data processed in accordance with the moving image drawing command. A composition unit composes the result of graphics drawing by the graphics drawing unit with the moving image data generated by the moving image drawing unit.