There is disclosed a fully automatic winding device for winding material in ribbon or strip form, particularly strips or ribbons made of metal foil for producing tightly wound rolls of such material. The device comprises at least one take-up spindle and at least one take-up spool for winding the material thereupon. The device further comprises a pressure roller for pressing already wound-up material against the underlying windings of the material or against the spool itself. The take-up spindle is journaled freely rotatable and floating. It is driven by the pressure roller which in turn is driven and serves to pull the material to be wound up from a supply spool.