---------------------------------------------------------------------***--------------------------------------------------------------------Abstract This paper tells about the utilisation of BoxBehnken outline way to deal with arranging the examinations for abrasive water jet cutting with a general goal of streamlining the procedure to yield better surface quality. Abrasive water jet machining is a non–traditional method of evacuation of material by effect disintegration of the pressurised high speed of water and entrained high speed of coarseness abrasives on a work piece. A trial was led to assess the impact of process parameters on surface Roughness (Ra) of aluminium. The philosophy relied on upon Response surface method (BOX BEHNKEN) and analysis of variance (ANOVA) to enhance the procedure strategy parameter for suitable machining and to predict the perfect choice for each, pressure, standoff distance and Traverse rate. The combination generated in the BoxBehnken method by the design of expert software (DOE) test directed and with the assistance of ANOVA, it is found that these parameters affect machining qualities surface harshness (SR). The investigation uncovers that when all is said in done, the standoff distance has very little fundamentally influence while pressure and traverse speed has much influence on surface Roughness (SR). In this paper author use design of experiment software (DX10) for Response surface method.