Final finishing of complex job profiles on the precision components is one of the tedious and important steps in a manufacturing process. Abrasive flow machining (AFM) is a novel technique used for obtaining a fine finish particularly on inaccessible regions. In spite of several advantages over other non-conventional machining techniques, AFM suffers from the limitation of low material removal rate. According to recent studies, abrasion rate in AFM is enhanced if the work piece is processed in the presence of a magnetic field. The introduction of a magnetic field as an assistance to AFM calls for reassessment of the process performance. In this paper, the effect of magnetic field as an input parameter along with other key parameters of AFM on the surface roughness of components is studied with the help of Taguchi technique. The optimal setting of various parameters affecting quality characteristic (surface roughness) has been also carried out.