Computer solution of Reynold's equation applied to an elliptic bearing using numerical methods is employed to obtain the load carrying capacity of an elliptic bearing with horizontal and vertical axes. Numerical integration of pressure results in evaluating fluid-film forces. Numerical differentiation of fluid-film force components determine radial and tangential film stiffness. If the journal runs in equilibrium under some external load, and is displaced incrementally in direction of radial vector of the journal center; numerical solution of Reynold's equation,for each bearing arc, will result in dynamic pressure distribution. Numerical integration of dynamic pressure results in dynamic fluid-film forces. Numerical differentiation of dynamic forces results in tangential and radial damping coefficients. Equations of motion of a journal due to small oscillation of the journal center areused to determine the onset of instability in an elliptic bearing.