The invention discloses a cigarette paper tail statically cutting-off device of a cigarette making machine. A rack-shaped fixed cutter, with various toothed tips facing backwards while toothed blades facing upwards, is arranged on a fixed cutter holder of the cigarette making machine; an air cylinder, which is in corresponding to the fixed cutter from upper part, and an air cylinder, which is in corresponding to the fixed cutter from lower part, are arranged on a vertical plate 1 which is fixedly arranged on the fixed cutter holder; a push block is arranged on a piston head of each of the air cylinders; and a rack-shaped movable cutter, with toothed tips facing toothed holes of the fixed cutter and toothed blades facing forwards, is arranged on the upper push block, and a rack-shaped movable cutter, with toothed tips facing toothed holes of the fixed cutter and toothed blades facing forwards, is arranged on the lower push block. The cigarette paper tail statically cutting-off device disclosed by the invention, by changing the cutting head shapes of the movable and fixed cutters, can cut off the tails of cigarette papers under a static state, so that production efficiency is effectively improved, the waste of the cigarette paper is avoided and production cost is reduced.