An ultrasonic assisted magnetic abrasive finishing (UAMAF) process uses an ultrasonic vibrations and magnetic abrasive finishing (MAF) process. In a finishing process there are two types of forces that act during the finishing of the workpiece by UAMAF, namely, normal force and cutting force. The finishing forces have direct influence on the generation of the finished surface and accuracy of the workpiece. Therefore, in the present work, normal force and finishing torque have been measured at various processing conditions during UAMAF. Supply voltage to the electromagnet and finishing gap have been found to be the significant factors affecting the finishing forces and torque. Mathematical models based on process physics have been developed to predict the finishing force and torque. The developed models predict force and torque as a function of supply voltage, machining gap, and workpiece hardness. The developed mathematical models for normal force and finishing torque have been validated and were found to be in good agreement with experimental results.