The two dimensional behaviour of the structure subjected to moving load with sprung and unsprung masses has been considered. The moving load is assumed to be of two degrees of freedom. The theory encountered in this paper will find its widest application though the actual conditions are more complicated. The response study has been made, in the form of dynamic coefficient. Its variation has been studied under parametric study taking into account the mass of the moving vehicie, mass of the bridge, weight of the vehicle, weight of the bridge, speed of the moving vehicle, and unsprung and sprung parts of the vehicle. It is observed from the results that speed parameter and the sprung and unsprung parts of the vebicle will give rise to the increase in value of dynamic coefficient.