The regimes of elastohydrodynamic lubrication at the points where line contacts occur between the vane tip and camring in an oil hydraulic vane pump is studied. A study of the contact conditions in vane pump provided most of the early interest in the possibility of fluid film lubrication in highly loaded contacts. The variation of viscosity with pressure and the elastic deformation associated with the high pressures generated in the contact region are the major causes of the complexity attributed to lubrication behavior. Therefore a numerical solutions to the problem of elastohydrodynamic lubrication of line contact are obtained by using a finite-difference formulation.