A head of an animal grooming brush has a manually retractable comb with a handle, a head with a movable lamellar comb, a controller for movement thereof and a device for setting the comb. The comb can be replaced without removing the head and without resorting to tools, the transverse setting thereof can be set in a plurality of positions. The comb is connected, in a removable manner and by transverse sliding, to a cradle connected to a connecting rod and a lever which, supporting a control button, is rigidly connected to lateral cylindrical pawls used for hingedly connecting the connecting rod to the head and engaging with positioning notches arranged in the head, placing the comb in a plurality of longitudinal positions, while allowing movement in a plurality of positions, including a maintenance position allowing the comb to be removed from the cradle for replacement.