The device for dispensing pre-cut rolled wiping material comprising a housing receiving a roll of wiping material, said housing comprising a back wall, and two lateral walls, said walls forming external walls of the housing, said housing receiving a flap hinged with respect to the housing, ensuring the guiding and the unwinding of the roll of material, and a cover hinged with respect to the housing, defining after closing a space between said flap and said cover to enable the strip of material to come out, said flap and said cover defining a space between them to ensure the guiding and the letting out of the strip of material and the separation of a format of material, said device being remarkable in that it has an external wall for supporting the roll of material having a profile comprising a horizontal central portion and, on either side, two raised front and back oblique portions enabling to receive, to center, and to hold in a stabilized way the roll of material, and in that the front oblique portion is, by its lower portion, jointed to the horizontal support portion, and recessed with respect to the front end of the housing to define a volumetric space with the flap, allowing the user to engage and to position his fingers to grab the unwound strip of material coming from the roll for the distribution of a cut format of material.