This investigation applies a Taguchi orthogonal table, integrating response surface methodology (RSM) to optimize parameters of a precise boring process using a computer numerical control (CNC) machine operation for the production of aluminum alloy 6061T6 components. By applying RSM analysis, the predictive mathematical model of the roughness average and roundness were developed in terms of the cutting speed, feed rate, and depth of cut. The error analysis and experimental results indicate that the proposed predictive mathematical models could adequately describe the performance indicators within the limits of the factors that are being investigated. In addition, the analysis of variance (ANOVA) was implemented to identify the significant factors and the response surface contours were constructed for determining the optimum conditions of precise boring processes using CNC machine operations.