A bicycle rim is provided with an annular metallic rim member and a reinforcing member. The annular metallic rim member has a plurality of spoke attachment arcas with at least one spoke attachment opening in each of the spoke attachment areas and a plurality of intermediate areas disposed between adjacent pairs of the spoke attachment areas. The reinforcing member extends circumferentially about the annular metallic rim member to overlie the spoke attachment areas of the annular metallic rim member. The reinforcing member has a plurality of discrete spoke attachment area reinforcing parts overlying a corresponding one of the spoke attachment areas of the annular metallic rim member. The reinforcing member also has a rim reinforcing part overlying the intermediate areas of the annular metallic rim member and at least partially overlying the discrete spoke attachment area reinforcing parts.