The magnetic abrasive finishing has been developed as a new precision and cleaning process to obtain a fine surface. The current research using magnetic abrasive finishing process to polish the internal-face of titanium pipes, and analyzed the influence of finishing conditions on magnetic abrasive effects through the removed materials amount and surface roughness of titanium at low speed rotation mode. In this study, the effect of magnetic abrasive finishing process on the cylindrical workpiece of Ti-6Al-4V (ELI) titanium alloy bar was investigated. Ti-6Al-4V (ELI) titanium alloy is the materials which has been widely used in medical implant materials and to obtain the fine surface, the workpiece was polished using a MAF process with high rotational speed and with the differentiation of vibration conditions. To achieve precision finishing of titanium alloy bars, 3 different parameters were considered, such as rotational speed, vibration frequency, diamond paste grain size of abrasives. Each parameter was analyzed by surface roughness, removal weight, roundness to find out the optimal condition of each polishing factor to achieve a fine surface through experiments. To find out optimal temperature environment condition, three different temperature conditions, such as (cryogenic, warm, room temperature) were applied to magnetic abrasive finishing process and characteristics of titanium alloy bar by was investigated too. The result indicates that the workpiece can be polished with the optimal parameters, which were found at 10,000rpm, vibration frequency is 10Hz, diamond paste grain size is 0.5㎛, and the best value of surface roughness Ra was equivalent to treatment at 0.02 ㎛ with optimal conditions of MAF process.By applying 3 kinds of temperature environment to analyze characteristic of workpiece, we found that the room temperature is best condition to produce fine surface of the titanium alloy bar compare with other 2 conditions. According to the results, it indicates that the room temperature condition is the best way to achieve fine and precision surface by using a magnetic abrasive finishing process. In this research, we realized that it is possible to achieve fine and clean surface of Ti-6Al-4V (ELI) workpiece with the room temperature condition by using a magnetic abrasive finishing process. In future studies more detail parameter conditions will be concerned and more analysis will be held in detail by using a magnetic abrasive finishing process.