Ball burnishing routine permits through a simple, fast and economical manner to obtain free chip on the manufactured parts. It generates a superior surface finish by rotating a ball tool against a workpiece. The burnishing process is commonly developed in industry in order to improve the surface quality, which is a critical issue in the manufacturing sector. An experimental study were carried out to determine the best surface quality for magnesium alloy subjected to different medium. Burnishing of magnesium alloy was performed varying four different mediums and combining different burnishing parameters. To design the experiment were used the classical Taguchi method through which were developed the L16 orthogonal array. This strategy allowed to detect the driving parameters that generate the best surface roughness value by computing the signal-to-noise ratio. The driving parameters values for this study are 400 N (force), 0.05 mm/min (feed rate), three number of passes and boron oil as medium. The results are paramount important for designing heavy parts used in transportation vehicles such as automobiles, airplanes, high-speed trains etc.