In this present investigation, a multi performance characteristics optimization based on Taguchi approach with Grey Relational Analysis (GRA) is proposed for Electrochemical Drilling process on Inconel 625 material which is used for marine, nuclear, aerospace applications, especially in corrosive environments. Experimental runs have been planned as per Taguchi’s principle with three input machining variables such as feed rate, flow rate of electrolyte and concentration of electrolyte. Besides the material removal rate and surface roughness, the geometric measures such as overcut, form and orientation tolerance are included as performance measures in this investigation. Outcomes of the analysis show that the feed rate is the predominant variable for the desired performance characteristics. On establishing the desired performance measures and multiple regression models are developed to be used as predictive tools. The confirmation test also conducted to validate the results attained by GRA approach and affirmed that there is considerable improvement with the help of proposed approach.