Drilling machining processes is one of the most widespread applications in manufacturing of various mechanical parts and equipment. One of the interesting technologies in drilling, micro-drilling process that is critical in industries such as precision manufacturing nozzle for refueling vehicles, parts and camera clock is used. The drilling operations of metals, for having holes with desired quality and accuracy, it is required that various factors such as spindle rotation speed, feed rate and drill diameter evaluated. In drilling, increase the speed of spindle rotation speed machining and material removal rate is also increasing, and the other side is the erodes faster tool. Therefore, careful selection of various parameters in the drilling operation is necessary. In this paper, by doing experiments, a linear regression model to predict the rate of material removal rate during the second drilling operation based brass spindle rotation speed, feed rate, tool diameter and effective interactions are presented. Then, using statistical sensitivity analysis Sobol, the impact of parameters on material removal rate is obtained. The results of the sensitivity analysis show that the rate of material removal rate has the greatest impact on advancing the tool diameter is the least effect on the rate of material removal.