Abstract: Evaluation of tracked vehicles vibrational response depends mainly on the design and quality of suspension system. Suspension of tracked vehicles comprises torsion bars, shock absorbers, axle arms and road wheels stroke limiters. The most effective parameters of vehicle suspension are suspension stiffness and shock absorber damping coefficient. This paper presents a theoretical evaluation of tracked vehicles response in case of forced damped vibration and predicts its performance on specific road conditions. The analytical approach estimates the vehicle response with the assumption of linear suspension elements characteristics. MATLAB program was used to predict the vibrational response of tracked vehicles with real suspension characteristics. The vibrational response of the vehicle is estimated by looking for the angular displacement of the longitudinal vibration. The suspension stiffness and damping coefficient of shock absorber are introduced in the equation of motion by their real varying values.