Abstract: In an ink writing instrument, the ink storage space is divided into individual chambers that are inside the housing and are arranged axially one behind one another. The chambers are connected with the writing point by an ink guide. The ink-filled chambers are emptied one after the other by capillaries in the ink guide, air entering the chambers by a ventilation duct in the mouthpiece and the capillary ventilation openings. When ink is removed, no enclosed air volume is formed inside the storage space. In a second embodiment, the chambers are emptied simultaneously, the ventilation duct being opposite the writing point.