Cylindrical grinding is an efficient and useful method of achieving good dimensional accuracy and fine finish. Very often one of the main objectives of grinding process is to obtain very good surface finish. The present investigation takes into account the effects of common grinding parameters on surface finish obtained in cylindrical grinding. The material selected is mild steel. The grinding wheel dimensions and its specification are kept in-varied. Grinding parameters like in-feed, longitudinal feed and work speed have been varied at several levels. Surface finish parameter (Ra) has been measured and noted for evaluation of surface finish, by using the instrument Talysurf. These data have been analyzed, interpreted and discussed in the context of varied conditions of cylindrical traverse cut grinding. Apart from identifying relationships between process parameters and surface finish through graphical presentations, a number of techniques (Full Factorial Design, Response Surface Methodology (RSM) and MATLAB) have been applied on the experimental data to arrive at some conclusive remarks. The paper effectively shows how selection of process parameters may yield desirable surface finish.