A cycle wheel rim having an axis and a median plane perpendicular to the axis, the rim comprising an upper bridge and at least one left lateral flange extending from the upper bridge and extended by a hook projecting radially towards the axis and axially towards the median plane, the upper bridge including a stop positioned on the same side of the left lateral flange in relation to the median plane, so that the left lateral flange, the hook, and the stop demarcate a left channel open upward, the amplitude of the opening of the channel, defined by the distance between the hook and the stop being less than the greatest amplitude of the channel. The depth of the channel, measured between the top of the hook and the bottom of the gutter, is less than 6.0 mm, or less than 5.0 mm, the front surface of the hook comprising a first abutment surface and the front surface of the stop comprising a second abutment surface, the normal direction of the first abutment surface and the normal direction of the second abutment surface forming an angle between 75° and 105°.