A bicycle wheel basically has a hub, a plurality of spokes extending outwardly from the hub and an annular rim coupled to the outer ends of the spokes for supporting a tire. The annular rim has a spoke attachment portion with a plurality of spoke openings for receiving the outer ends of the spokes therein. The spoke openings of the annular rim have reinforcement members located between the spokes and annular rim. The outer ends of the spokes have bent sections located within the spoke holes of the reinforcement members or washers and head section that engage the inner surface of the reinforcement members. The rim is free of access apertures or holes in the outer annular portion adjacent a majority of the spoke holes. The reinforcement member has a transverse dimension allowing the outer end of the spoke and the reinforcement member to pass through the openings in a first orientation and be retained in the openings in a second orientation.