A multi-dimensional bending apparatus is disclosed, wherein the entire length of the product is divided into a plurality of imaginary segments which are identified by detecting the continuously supplied length of an elongate material. The material is bent multi-directionally by a bending device including horizontal and vertical bending mechanisms and an axial twisting mechanism, which are individually actuated in response to the detected supplied length of the material. Multi-dimensionally bent, continuously supplied material is cut into the length of the product by means of a cutting device also actuated in response to the detected supplied length of the material, the cutting device including fixed and movable blade members which, during the cutting operation, are movable also in the direction in which the material is supplied. The movable blade member is formed with a slit with a side aperture through which the bent material having a lateral deflection moves out of the slit, permitting the return motion of the movable blade member. The cutting operation is effected without requiring an interruption of the continuous supply of the material.