Abstract: The cutter head is adapted to cut material such as wood, frozen meat, vegetables and the like into pieces of predetermined length, width and thickness. The cutter head has a rotor body of a cylindrical shape formed with at least one axially extended piece-receiving cavity that has a leading side; and a knife unit that includes a mounting section with a knife section projected outwardly from a flat side of the mounting section. The knife section has a flat leading side and a flat trailing side which intersect at an acute angle to form a cutting edge. The knife unit is supported in the rotor body with the flat side of the mounting section in a plane parallel to a plane extended diametrically of the rotor body and through the cutting edge when the leading side of the knife section is arranged opposite the leading side of the piece-receiving cavity.