Abrasive water jet machining (AWJM) process is one of the unconventional machining processes used in many industrial applications. Abrasive water jet machining process withstand very high operating pressures and also the flow of abrasive particles are at very high water pressure is made to remove material from work surface by erosion process. In AWJM process pure water and abrasive particles such are Si0₂, beads of glass; aluminum oxide and silicon carbide are majorly used. In this work, optimization of process parameters on the material removal rate, kerf width and surface roughness of Al6082 are done by using AWJ machining process. The experiments were conducted according to Taguchi Experimental design using four factors each at three levels to determine the effect of output responses like material removal rate, surface roughness and kerf width. Finally, multi-criteria optimization and compromise solution (VIKOR) algorithm has been applied for multi-objective optimization of the responses of Electrical Discharge Machining (EDM) process on Al6082 alloy.