The present disclosure relates to a releasable attachment comb (60) for a blade set (22) of a cutting head (20) of a hair cutting appliance (10), said attachment comb (60) comprising a supporting frame (62) comprising a first lateral grip bar (68), a second lateral grip bar (70), and at least one laterally extending supporting bar (64, 66) arranged between the first lateral grip bar (68) and the second lateral grip bar (70); a plurality of guide teeth (72) that define a skin contact front face (74); a plurality of snap-on mounting elements (78, 80); wherein the snap-on mounting elements (78, 80) are spaced away from the first lateral grip bar (68) and the second lateral grip bar (70); wherein at least one of the snap-on mounting elements (78, 80) is configured as a proximal snap-on mounting element (78) that is arranged on a first, proximal side (84); wherein at least one of the snap-on mounting elements (78, 80) is configured as a distal snap-on mounting element (80) that is arranged on a second, distal side (86); and wherein the at least one proximal snap-on mounting element (78) and the at least one distal snap-on mounting element (80) are arranged to mutually lock therebetween the blade set (22) to attach the attachment comb (60) to the cutting head (20). The present disclosure further relates to a cutting head (20) of a hair cutting appliance (10) that is fitted with a respective attachment comb (60).