Head of an animal grooming brush with a manually retractable comb, comprising, at the end of a handle, a head with two elements (7, 9) defining an inner space with lips (40, 42) for ejecting hairs, and a lamellar comb slidably mounted in the head, between a removal position in the latter and at least one brushing position wherein the toothing thereof stands out from the lips (40, 42), with this comb being connected to means (12 to 17) for manually controlling the movement thereof, which can be actuated by a button external to the head, while the head comprises means (25, 47) for setting of at least some longitudinal positions of the comb, characterised in that the comb is connected, in a removable manner and by transverse sliding, to a cradle that can be moved in translation in the head, and this cradle is connected to the means that ensure the movement thereof and comprising: - a connecting rod, of which one of the ends is articulated on the cradle, - and a lever for controlling the movement, which, articulated with the other end of the connecting rod: -- firstly, is provided with at least one longitudinal tenon passing through the wall of the upper element of the head, in order to receive the control button, -- secondly, is integral with the lateral cylindrical pawls used for the articulation of the connecting rod on the upper element of the head and engaging with setting notches arranged in the upper element of the head, with these notches providing the setting of the comb in a plurality of longitudinal positions of the comb, -- and, thirdly, contains an articulation body pivotably mounted in the lower element of the head is slidably mounted with interposition of a return spring working in extension, in order to thrust the cylindrical pawls thereof against the setting notches. - a connecting rod, of which one of the ends is articulated on the cradle, - and a lever for controlling the movement, which, articulated with the other end of the connecting rod: -- firstly, is provided with at least one longitudinal tenon passing through the wall of the upper element of the head, in order to receive the control button, -- secondly, is integral with the lateral cylindrical pawls used for the articulation of the connecting rod on the upper element of the head and engaging with setting notches arranged in the upper element of the head, with these notches providing the setting of the comb in a plurality of longitudinal positions of the comb, -- and, thirdly, contains an articulation body pivotably mounted in the lower element of the head is slidably mounted with interposition of a return spring working in extension, in order to thrust the cylindrical pawls thereof against the setting notches. -- firstly, is provided with at least one longitudinal tenon passing through the wall of the upper element of the head, in order to receive the control button, -- secondly, is integral with the lateral cylindrical pawls used for the articulation of the connecting rod on the upper element of the head and engaging with setting notches arranged in the upper element of the head, with these notches providing the setting of the comb in a plurality of longitudinal positions of the comb, -- and, thirdly, contains an articulation body pivotably mounted in the lower element of the head is slidably mounted with interposition of a return spring working in extension, in order to thrust the cylindrical pawls thereof against the setting notches.