To optimize a machining process, the choice of input variables is to be set at an optimal value and one has to take up experimental methods, which are not feasible at times. As such, optimization techniques can be used as they provide a cost-effective method. Laser microdrilling is a machining process that can be used on metals and composites. Aluminium alloy as matrix and silicon carbide (SiC) as reinforcement is a widely used material having applications in aircraft and space industries. An attempt is made for the optimization of Nd: YAG Laser beam Micro drilling of Al/10%/SiCp metal matrix composite. In this work, experiments are conducted with input parameters pulse power, pulse frequency, assist gas pressure, and pulse width and the mathematical models correlating the desired response heat affected zone and the control parameters are established using Response Surface Methodology (RSM). These models give the factor effects of the individual process parameters. Finally, GA is applied to search the optimal machining parameters.