In this study, a mathematical model was suggested to predict the maximum steering torque of a tractor on off-road. The model took into account the characteristics of soil, including the pressure-sinkage and the shearing characteristics as well as the primary design parameters of steering system of the tractor. The efficiency of the developed model was verified via comparison of the maximum steering torque predicted using the model with those measured from steering torque test. The results showed that the predicted maximum steering torques were in good agreement with the measured ones from the steering test on soft soil in which tractor is generally operated. Thus, we concluded that the model developed in this study could be used for prediction of maximum steering torque of a tractor.