The main objective of this study is to optimize the CNC turning parameters that give the fine surface characteristics of aluminum-magnesium alloy (AlMg3). Optimization has been conducted using the response surface methodology. Experiments were carried out on a Samsung PLA25 CNC machine. Three PVD-coated insert cemented carbide cutting tools with nose radiuses were used. The influence on the machining responses of various machining parameters such as the cutting speed, the feed rate, and the depth of cut were examined. In mechanical machining and workpiece surface finish, tool geometry is crucial. the three variables cutting speed (B = 500, 700, and 900 rpm), feed rate (A = 0.3, 0.5, and 0.7 mm/rev), and depth of cut (C = 0.5, 1.0, and 1.5 mm). are known to have a major impact on surface quality, as well as the tool nose radius. An understanding of these ideal parameters would make it easier to save machining costs and enhance surface quality. The Taguchi method was used for the optimization of machining experiments based on a full factorial design, to determine three different parameters and levels, by using orthogonal arrays. The initial objective of this study is to find the optimum parameters based on the best combination (A, B, C) feed rate, cutting speed, and depth of cut of each nose radius used. Therefore, which of these parameters has the greatest influence on surface roughness.