Stainless steel 303 (SS 303) is one among the parts of stainless steel alloys group. SS 303 is an austenitic stainless steel which is non-magnetic and non-hardenable. The present work attempts to optimize the CNC turning process parameters for SS303 material such as spindle speed, feed rate and depth of cut. Physical vapour deposition (PVD) coated inserts are used. Material removal rate (MRR) and surface roughness (SR) are chosen as the output responses for the optimization process. Grey-fuzzy model is generated between the normalized output values and the corresponding grey relational grade values. The optimal combination of input parameter setting for obtaining the better output responses has been decided based on the generated grey-fuzzy reasoning grade value. Analysis of variance technique has been employed to identify the influence of each input factors in achieving the optimal results.