Surface finish of a product is a very important aspect as it can affect the product life. Magnetic abrasive finishing (MAF) is one of the advanced finishing processes, which produces good finish with least surface damage and is primarily controlled by a magnetic field. The MAF process removes a very small amount of material by movement of magnetic abrasive particles relative to the workpieces. The MAF process has been widely used for finishing cylindrical and flat work-pieces. In the current work the application of magnetic abrasive polishing process, on paramagnetic workpieces is demonstrated. To evaluate the performance of the process, two materials with different hardness including brass and aluminum were selected. A setup is designed and produced to perform the experiments. The main part of the setup is a magnetic disc which comprises of six magnetic coils arranged in the circumferential directions at intervals of 60 degrees. Rotating magnetic field is obtained by electrifying the coils with three phase AC current. A cylindrical container, containing workpieces, pin shaped magnetic abrasives and water is located above the disc with a gap. Rotating magnetic field moves pin shaped magnetic abrasive parts and result in debarring of the non-ferromagnetic workpieces. At first rotational speed of abrasive pins is investigated as a function of the current frequency and the feasible range of rotational speed are obtained. Then, effects of process parameters including: rotational speed of abrasive pins, abrasive pins' dimensions, abrasive pins' quantity, gap between the container and the coils and deburring time on final surface quality are investigated. The results show significance improvement in the surface quality without changing the work-piece's geometry. It is observed that both increasing the rotational speed and using smaller pins improve final surface quality. There are optimum abrasive pins quantity and working gap in which the best surface quality is obtained. The results are similar for the both selected materials. Key Words: Deburring,Polishing,Magnetic Abrasive,Magnetically Polishing.