A radial roller bearing comprises a smooth cylindrical outer ring inserted in a housing with a roller race arranged in the outer ring. The roller race is formed by a plurality of roller-shaped rolling elements inserted in a bearing cage, which holds said rolling elements evenly spaced in a circumferential direction. The rolling elements roll off an outer raceway formed by the inner shell surface of the outer ring, and off an inner raceway formed by the outer shell surface of a shaft to be mounted, or formed by a smooth cylindrical inner ring fitted onto the shaft. The axial guidance of the roller race is accomplished by way of two separate flanged rings abutting the axial sides of the outer ring which, together with the outer ring are axially fixed in place by way of safety elements engaging with circumferential grooves in the housing. The safety elements for the flanged rings and the outer ring, and the flanged rings are fixedly connected.