Drilling in rock is analyzed through empirical methods and there is none accepted rational methodology to analyze all the parameters that control the destruction of rocks. This dissertation aims to analyze the drilling of rocks from the standpoint of numerical modeling, using the Distinct Elements Method. Initially we discuss the modeling of rocks, a quasi-continuous medium, by a set of bonded particles. Then, the destruction of rock by drill bits will be simulated by analyzing the rock cutting process using a single cutter. The final product of this work is to compare results of specific mechanical energy obtained in laboratory tests with modeling results and conclude the method s efficiency. Moreover it is possible to propose parametric studies to evaluate the importance of some geometric elements in the cut environment to improve efficiency of the operation.