A control system for improving the moving accuracy of robotic manipulators with elastic joints is devloped. The dynamics of manipulator system is splitted into two sub-dynamics; of arm-link and actuator rotor- link, which are coupled statically through joint torque. Two contorl loops are implemented respectively around both sub-dynamic systems. Computed torque algorithm with acceleration feedback is used for the arm-link control loop, and for the actuator rotor-link control loop PID algorithm is adopted. The resulting control system is tested through a series of computer simulation for a PUMA type manipulator, The reaults show good performance of the developed control system for wide range of joint stiffness and moving speed.