A rocker arm assembly for a valve train of an internal combustion engine which has a rocker arm that pivots on a support pin about an axis where a push rod contacts one end of the assembly and a valve shaft of a gas exchange valve contacts the other end of the assembly. A rocker arm is mounted on a support pin through a radial roller bearing for handling radial forces. An outer bearing support wall is attached to the rocker am and covers both ends of the support pin. Between the ends of the support pin and the outer bearing wall is a thrust washer for handling axial forces in the rocker arm assembly. The radial bearing assembly can have an outer bearing shell and an inner bearing shell where the outer bearing shell has a generally U-shaped configuration that covers the end wall of the support pin. The bottom wall of the outer bearing shell forms the outer bearing support wall for the thrust washer.