The speed control system of DC motor normally uses increasing of electric current and voltage for obtaining required speed and torque with regardless of effects from variable of load torque to system. Including that noise will make some errors in speed and torque control. This research aims to present a method for developing the high accuracy in speed control of DC motor by a technique of adaptive torque compensation that is evolved on Lyapunov stability and using Kalman filter for screening out the evident noises in the system. Results reveals that the adaptive torque compensator evolved from the Lyapunov stability can compensate a stable torque and when it is worked with Kalman filter, it can compensate torque correctly and can control more accuracy of motor speed.