An improved detachable cutting assembly used in a food cutting machine includes a rotating disc with a window and a pivot hole. A flap is connected radially to the rotation axis of the cutting machine by its insert ring. The insert ring includes a fixing area in which at least one nut is embedded and on which there is at least one fastening hole coinciding with the at least one nut, and a lifting wedge on which a blade is partially embedded, leaving the cutting edge of the blade protruding on the upper face of the rotating disc through the window of the rotating disc. Existing in the fixing area of the rotating disc, there is at least one fastening hole coinciding with the at least one fastening hole and the at least one nut of the flap and capable of fixing the whole assembly by linking elements.