The high stress into the rolling bearing are locally generated because of the high oil pressure concentrating on a small area under EHL condition. As the result, the failure of rolling bearing might happen if the generated stress is beyond the strength of the material. Therefore it is important to take the stress distribution of rolling bearing into consideration for the efficient design of rolling bearing. Furthermore, it is also important to estimate the oil film thickness as well as stress as the metal-metal contact between the sliding pairs is directly related to the failure of the rolling bearing. In this paper, stress distribution of rolling bearing and oil film thickness are numerically analyzed in a point contact under EHL condition, and the optimum design for rolling bearing was obtained from the result. As a result, it is preferable to give the smaller value of equivalent radius of curvature and the larger value of rotating speed of ball.