There is wide range usage of titanium alloys in aeronautical and aerospace industries due to corrosion resistant and excellent strength to weight ratio. Machining process may be affects material properties and residual stresses in surface or near surface layers of the work piece. In addition, residual stresses have important rule in machining work piece operation. This stresses are functions of machining parameters such as cutting speed, feed rate, rake angle, tool geometry and lubrication condition. In the current research broaching process of Ti6Al4V is simulated in abacus software. After modeling, the effect of rake angle on residual stresses is analyses for 5, 10, 15 and 20 degree rake angels for 15, 30 and 45 m/min cutting speeds. Also the effect of different cutting speeds such as 15, 30 and 45 m/min for constant cutting depth of cut of 0.05 mm and 5 degree rake angle was investigated.