The cheese cutting device includes a platform (1) with an axis (3) provided with an internal cutting blade (4) which is guided from it vertical position to the horizontal position during the cutting of the cheese (2); the platform (1) is provided with an extractable sector which comprises a punch (19) intended to perform the initial grooving of the central axis of the cheese, as well as an extractable sector (16) on which is situated the cut portion in order to make the next cut.