Wire cut Electrical Discharge Machining is one of the important manufacturing process which is used to obtain desired shape using electrical discharge (or) by continuous sparking. This paper deals with wire cut EDM of D2die steel using Zinc coated wire tool. Two conflicting objectives, surface roughness and kerf width, are simultaneously optimized. Experimentation was planned based on Taguchi’s L-9 orthogonal array. All the experiments has been conducted under different machining conditions of gap voltage, pulse ON time, and pulse OFF time. Wire feed, wire speed, resistance, wire tension, dielectric fluid pressure and cutting length are taken as fixed parameters. In this paper Gravitational Search Algorithm (GSA) is employed for optimising surface roughness and kerf width.