Surface texturing has become a technique to reduce friction and wear in cutting process; laser surface texturing is a method used to create micro-dimples on the interface surface. It is considered that cutting of titanium is difficult. As the experiments are costly and time demanding, metal cutting modeling provides an alternative way for better understanding of machining processes under different cutting conditions. In this paper a 3D finite element model has been used to simulate the cutting process of titanium alloy Ti6Al4V to predict the cutting forces and temperatures.