A circular bicycle rim is provided with a rim body, an annular tire engagement portion and first and second outer peripheral edges. The rim body includes a first annular side wall portion and a second annular side wall portion. The annular tire engagement portion extends between the first and second annular side wall portions to engage a tire thereon. The first and second outer peripheral edges are located between the rim body and the annular tire engagement portion. Each of the first and second outer peripheral edges has an uneven edge surface that repeatedly rises and falls with respect to a radial direction of the bicycle rim.