Nowadays GA based H -Infinity control technique applied for speed control applications for switched reluctance motor drive. H infinity control is an external control technique so the weight of the transfer function matrix is improved and the system is controlled perfectly by totaling the input weight noise function matrix value and weight uncertainty. The weight of the transfer function matrix is changed at every different system states. The SRM motor is used in various industrial applications due to its profitable advantages. Initially PI controller used for speed control of switched reluctance motor. Then fuzzy logic and H-Infinity control methods are used for speed control of switched reluctance motor. The process of finding an optimal control weight is complex because the H-Infinity control process is a closed loop control. This would be fall of control accuracy and also increases the merging time. To overcome these problems, an optimal GA based H-Infinity control concept is proposed. In the proposed control process, the optimal transfer function matrix weight is obtained by Genetic Algorithm. The proposed GA based optimal H-Infinity control method is simulated in MATLAB and also speed of the SRM is controlled by the proposed optimal GA based H - Infinity control method.