Fibre Re-inforced Plastic (FRP), belongs to chemical compound matrix stuff,  wide utilized in a range of applications viz craft, robots and machine tools .Machining of natural fiberstrengthened Plastic composite is a vital activity within the integration of those advanced materials into engineering application. Machining damage due to disproportionate cutting parameter may result in rejection of the composite components at the last stage of their production cycle. Surface roughness’s being prime requirement and are indicator of surface quality for machined part by the customer. This study applied modeling and simulation techniques to optimize parameters for minimum surface roughness in finish edge of NFRP. With group of experimental machining information the mathematical model has been formulated with the use of Response Surface Methodology (RSM). The best model was thought-about for formulating the equation, were obtained with simulated annealing (SA).