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Off-highway vehicles operate under complex duty cycles which consist of handling varying terrain conditions under dynamic loads. A challenge for the equipment operator is to maintain stability of the vehicle during various field operations. The operator must make judgment calls on whether terrain and loading conditions are suitable for vehicle stability. In view of the increasing emphasis being placed on operator comfort and vehicle autonomy, a methodology to predict the degree of vehicle stability in varying terrains and dynamic loads will be an aid in designing safer vehicles. This paper describes a mathematical model capable of predicting the longitudinal overturning behavior of off-highway vehicle. A mathematical kinematic and dynamic model of the system is developed using Newton-Euler approach. This yields a system of non-linear equations which can be solved iteratively by using any commercial software to predict stability for varying terrains and dynamic loads.