The use of PI controllers in electrical machine drives is often characterized by the high effect of motor parameters changing; the main purpose of the presented paper is to adapt both proportional and integral gains in order to perform and improve a closed-loop speed-controlled induction motor using direct torque control. First, a mathematical model is built using electrical and mechanical equations, then the DTC control method for the induction machine is presented based on relationship blocs; all those blocs are sensitized by the Simulink toolbox environment in MATLAB Software. The speed control is optimized by an optimized PI controller using genetic algorithm; the comparative simulation results are presented in order to claim the improvement of the system.