Abstract: A bicycle brake assembly includes a bracket member having a pair of elongate legs each arranged to extend on a different side of the rotational plane of a wheel. A pair of brake pad devices are mounted on the legs for pivotable movement and longitudinal movement relative to the associated legs, and the brake pad devices can be fixed at a desired longitudinal position relative to the legs. An actuating mechanism is linked to the brake pad devices for pivoting them together toward the wheel so that brake pads in the devices frictionally contact the wheel. The location at which the brake pads engage the wheel in the radial direction thus is determined according to the positions at which the brake pad devices are fixed on the legs of the bracket member. Optimum braking action therefore can be obtained regardless of the particular position at which the bracket member itself is fixed in the radial direction.