The scientific installation project (HIAF)will be undertaken by the Institute of Modern Physics of the Chinese Academy of Sciences. LEAF (Low Energy intense-highly-charged Accelerator Facility) is a pre-research project for the future large-scale scientific installation about HIAF. It was received the support of the National Major Instrument Equipment R&D Fund. In the accelerator control system, motion control plays an important role. Motion control is a branch of automation. It mainly uses servos and motors to control the position or speed of the machine. The motion control system designed in this paper is mainly used to control the gas in and out, slits motion control, beam diagnostics and other equipment. It mainly studies the hardware architecture of the motion control system, the application of EPICS in the motion control system, the HMI design of the CSS and the test of the motion control system.