Drilling is one of the most important machining processes in manufacturing industry. Recently, studies dealing with the problems encountered during drilling and their solutions have been increased. In this study, it is aimed to model and analyze the thrust forces and torques obtained experimentally according to the changes in cutting parameters during drilling processes applied to AISI 316L stainless steel material that has wide usage in industry by using finite element method. For this purpose, a number of drilling experiments were carried out, and the thrust force and torque were investigated experimentally, analyzed, and modeled depending on the cutting parameters (cutting speed and feed rate) and cutting tool types (uncoated and TiN-/TiAlN-/TiCN-coated solid carbide drills). According to the results obtained from experimental studies, thrust force and torque had a tendency to increase subject to increasing feed rates. These parameters had a tendency to decrease in coated tools, while there was no important change in uncoated tools according to increasing cutting speed. According to the results of the analyses, total deformation increased with increasing cutting speed and thrust force for both in coated and uncoated cutting tools. It was seen that developed model can be used successfully in forecasting the results of the analyses.