Electric discharge machining (EDM) is commonly used in implant manufacturing due to the challenge of machining materials that are widely employed in these applications. The study applies response surface methodology to model the impact of powder concentration and machining parameters in powder mixed EDM of CoCrMo alloys, a prevalent material for implantation. AISI 316L stainless steel was selected as the electrode material, while Ti6V4Al was chosen as the additive powder based on their biocompatibility properties. An experimental design was created using a Taguchi L16 array, which involved selecting 4 levels for each parameter of additive ratio, discharge current, pulse on time, and pulse off time. Regression models were developed for material removal rate (MRR) add tool wear rate (TWR) with satisfactory coefficients of determinations (0.87). Effect of the process parameters on MRR and TWR were analysed by means of 3D response surface plots. As a result of the modeling, it was revealed that discharge current, puls on time positively affected MRR, powder concentrations and puls off time negatively affected it. On the other hand, all of the considered process parameters have increasing effect on TWR.