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Vehicle drift is a condition where the driver must apply a constant correction torque to the steering wheel in order to maintain a straight-line course of the vehicle during braking. This paper presents an investigation study into the characteristics of a vehicle experiencing steering drift under straight line braking. The aim of the work is to study vehicle stability and the causes of vehicle drift/pull during straight line braking to minimize brake drift level and hence optimize safety measures. Simulation, modeling and analysis have been performed in a multibody dynamics environment based on actual vehicle data. The simulation study of steering drift during braking and the resulting unstable behavior of a vehicle during straight-line braking which results in lateral drift is presented in this paper. Suspension parameters have been modeled as rigid links joined with flexible bushes so as to observe their effect on a vehicle while braking.