In this paper, Ultrasonic assisted cutting (UAT) process has been investigated. The cutting technique is among the advanced machining techniques which improve cutting capability of materials. Vibratory tool is made under longitudinal mode with 10 micron amplitude and 20 KHz frequency, in such a way that vibration is applied in cutting speed direction. Experiment carried out on Al7075; using ultrasonic assisted turning has lead to reduction in the cutting force, versus traditional cutting process. Moreover, further experiments were done aiming at investigating effective parameters in UAT machining process on Al7075 parts. These parameters include cutting speed, feed rate, depth of cut, and vibration amplitude. Statistical analysis on the experiment results were carried out, and different mathematical models for forecasting cutting force and optimizing machining parameters are presented in order to achieve minimum cutting force. At the end, cutting forces were compared for two machining processes namely ultrasonic assisted cutting (UAT) process, and traditional machining.