A separator device, particularly a separator for separating particles from an air stream, which includes a first stage having at least one centrifugal separator through which the fluid flows along a first axial path. The centrifugal separator has a guide device for generating a spiral movement of the fluid. A second stage is directly downstream from the first stage and has an essentially cylindrical housing. A dust discharge is provided in the area of the fluid outlet, and a central pipe which is arranged concentrically and has a truncated conical shape is provided in the second stage.