Wire Electrical Discharge Machining (WEDM) is used as a valuable machining tool in the world of non-traditional machining due to various features which includes higher degree of accuracy, fine surface quality and good productivity. WEDM consists of large number of process parameters, thus it is difficult to obtain a combination of optimum parameters which provides higher accuracy. Optimization of a single response is often carried out with the well known technique Taguchi method. This method results in the solution which gives optimum value of each response. The experimentation has been completed with the help of Taguchi’s L25 Orthogonal Array. Grey Wolf Optimizer (GWO) algorithm is inspired by grey wolves. The Grey Wolf Optimizer algorithm mimics the leadership hierarchy and hunting mechanism of grey wolves in nature. In this paper, an attempt is made to study the effect of various process parameters such as pulse on time, pulse off time, wire feed, wire tension, upper flush and lower flush for high carbon high chromium steel and GWO is used to optimize the thinning in automotive sealing cover. ICMPC 2017