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Bevel planetary in the differential helps the vehicle in negotiating a turn and splitting the torque between the axles. The bevel gear differential assembly consists of two bevel pinions, two side gears, differential shaft and washers, enclosed in differential housing. Bevel pinions mounted on the differential shaft act as idlers for power transfer from carrier to side gears which are splined to axles. This paper is aimed at evaluation of stress cycles in fillets of bevel pinion in a differential. Generally analysis of bevel pinion is carried out using specialized codes. These codes ignore the stiffness of differential housing and differential shaft and effect of surface hardness on the gear tooth. Hence, in this work, a method has been proposed to simulate the complex mechanism of differential assembly with simple static analysis using commercial Finite Element Analysis Software ABAQUS/STANDARD.