The alpha-beta titanium alloys such as Ti-6Al-4V have been widely used in aerospace and medical applications and the demand is ever-growing due to its outstanding properties. In this report, the finite element modelling on machinability of Ti-6Al-4V via turning process using cubic boron nitride and polycrystalline diamond tool under dry cutting environment was investigated. This research was carried out to generate mathematical models at 95% confidence level for cutting speed, feed rate and depth of cut.