In this paper the authors design a controller for servo motor in discrete-time systems. The experimental is used to obtain the transfer function to design the PID controller. The effectiveness of the design is validated using MATLAB/Simulink. This new design method gives them a simple and powerful way to design a speed controller for a servo - motor. In this paper DC servo motor's mathematical model and equation were extracted and there were three different motion controller designed for control the velocity It was created simulation model at the MATLAB programme and proportional integral derivative.