A withdrawal system for a towel dispenser, said withdrawal system comprising a withdrawal device and a fastening frame cooperating with said withdrawal device, wherein - the withdrawal device comprises a withdrawal element and a lid obturating the withdrawal element, said lid being hingedly attached to the withdrawal element, - the fastening frame has a second withdrawal opening through which the towels may be passed, - the withdrawal element has a bottom and an outer wall arranged perpendicularly with respect to the bottom, said bottom being provided, within the outer wall, with a first withdrawal opening through which the towels may be withdrawn from the towel dispenser, - the withdrawal device may be releasably fastened to the fastening frame by means of a two-part fastening system (12, 22), wherein a first part of the fastening system being arranged on the withdrawal device and a second part of the fastening system being arranged on the fastening frame, wherein the first part and the second part of the fastening system cooperate in the manner of a bayonet joint or in the manner of a threaded joint, - the fastening system (12, 22) comprises snap-on means preventing an inadvertent detaching of the withdrawal device arranged on the fastening frame. - the fastening frame is adapted to be fastened to a receptacle designed for receiving the towels, wherein the fastening frame has a fastening rim whereon the receptacle may be fastened in an air-tight and/or water-tight manner by connecting an end portion of the receptacle and the fastening rim through bonding or welding, and - wherein the first withdrawal opening has a number of slots arranged in cross shape, wherein said slots arranged in cross shape form a number of retention corners being vaulted upwardly. - the withdrawal device comprises a withdrawal element and a lid obturating the withdrawal element, said lid being hingedly attached to the withdrawal element, - the fastening frame has a second withdrawal opening through which the towels may be passed, - the withdrawal element has a bottom and an outer wall arranged perpendicularly with respect to the bottom, said bottom being provided, within the outer wall, with a first withdrawal opening through which the towels may be withdrawn from the towel dispenser, - the withdrawal device may be releasably fastened to the fastening frame by means of a two-part fastening system (12, 22), wherein a first part of the fastening system being arranged on the withdrawal device and a second part of the fastening system being arranged on the fastening frame, wherein the first part and the second part of the fastening system cooperate in the manner of a bayonet joint or in the manner of a threaded joint, - the fastening system (12, 22) comprises snap-on means preventing an inadvertent detaching of the withdrawal device arranged on the fastening frame. - the fastening frame is adapted to be fastened to a receptacle designed for receiving the towels, wherein the fastening frame has a fastening rim whereon the receptacle may be fastened in an air-tight and/or water-tight manner by connecting an end portion of the receptacle and the fastening rim through bonding or welding, and - wherein the first withdrawal opening has a number of slots arranged in cross shape, wherein said slots arranged in cross shape form a number of retention corners being vaulted upwardly.