Abstract: An apparatus to be used for cutting-off the heads of fish comprises a frame (1) with conveyance means (2,3,6) comprising holding means (7) for supporting the bodies of the fish and their heads for transport of the fish bodies and the heads crosswise with respect to the longitudinal direction of the fish at a head cutting-off station comprising two rotating knives (50,51). One of the knives (50) serves for providing a cut 53 which extends from the back of the fish behind its head and inclined inward and rearward towards the tail of the fish, whereas, the other knife (51) serves for providing a cut (54) extending from the abdominal side of the fish and inclined inward and backward towards the tail of the fish. The knives (50,51) are arranged with their circumferences closely ajacent each other. In order to avoid the use of two conveyors, viz.