A suction device (100) for a textile machine comprising a mouthpiece (2) for introducing at least one yarn, a suction pipe (3) for guiding the yarn and a suction element (5) for generating a suction pressure. The suction element (5) comprises at least two cyclone elements (1a, 1b) for generating a vortex flow of compressed air. The cyclone elements (1a, 1b) are arranged one behind the other in the suction direction (A), so that a yarn can be passed first through a first cyclone element (1a) and then through a second cyclone element (1b). Each cyclone element (1a, 1b) comprises a cyclone axis, the cyclone axes being aligned in particular coaxially. Each cyclone element (1a, 1b) comprises at least one opening (31a, 31b) at the periphery, which is connected to a preferably common air delivery system (12), in particular in such a way that vortexes in both cyclone elements (1a, 1b) have the same direction of rotation. The suction device (100) comprises in particular a Laval nozzle (13).