Cylindrical grinding is one of the important metal cutting processes used extensively in the finishing operations. The grinding process plays an important role in every manufacturing activity. The surface properties can be altered by changing various grinding parameters in order to achieve best surface finish resulting in low surface roughness value and with possible maximum metal removal rate. Four parameters, namely spindle speed, feed rate, depth of cut and hardness of material were identified and the ranges of the parameters for the investigation were determined from preliminary experiments. Each parameter was investigated at three levels to study the non-linearity effect of the parameters. Taguchi method based L9 orthogonal array was selected and experiments were conducted as per experiment layout plan. Based on Signal to Noise ratio analysis, the optimal settings of the process parameters have been determined. Using these results mathematical model had been formed in order to get right combination of machining parameters. This would reduce time consumption and maintain desired quality with high productivity.