A bicycle rim includes a plurality of recesses defined in an inner periphery thereof and a through hole is defined through the rim and shares a common axis with the recess corresponding thereto. A plurality of spokes each have a threaded hole defined in a first end thereof which is fitted in one of the recesses and a plurality of bolts extend through the through holes and are threadedly connected to the threaded holes in the spokes. The through holes are small so that they do not reduce the structural strength of the rim and the end of each spoke is fitted in the recess to further position the spokes to the rim. A second end of each of the spokes is connected to a hub by extending a bolt through the hub and threadedly connected to the second end of each spoke.