The reliability of marine propulsion system is seriously affect by abnormal vibrations of propeller shaft on the lubricated stern bearings. An applicable numerical model regarding the lubricant performance of misalignment bearing induced by the transverse vibration of shaft is proposed. Comparisons with results presented in the literature is conducted to verify the accuracy of present results and demonstrate the applicability of proposed method. The hydrodynamic lubrication including fluid pressure, film thickness, load capacity and its attitude angle, misalignment moment and its attitude angle, end leakage flow rate and frictional coefficient are numerically calculated by solving the Reynolds equation with centered finite difference method. The impact factors of misalignment angle, eccentricity ratio, shaft rotational speed, lubricant viscosity and center-line eccentricity angle on the lubricant performance are investigated with different model parameters. To capture the nature of shaft-bearing interaction, the misalignment angle induced by rotational speed is experimentally obtained. This interaction is simultaneously considered in proposed model to discuss the nonlinear response of the lubricant performance. Therefore, an optimized design for the interaction of marine propeller shaft and oil lubricated stern bearing is realized.