The invention is directed to a filter device (10) and to a method of cleaning such a filter device for an electrically powered air-moving hair-care appliance, in particular for a hair dryer, a hot-air curling brush or the like, with a filter element (12) having an inner and an outer side (25, 26), in which the inner side (25) of the filter element (12) is arranged in the area of an air entrance opening of the appliance. The filter element (12) is configured as a type of fabric, perforated foil or the like of small thickness, comprising in particular a screening fabric made of a plastic material. Further, the filter device (10) is configured in such manner that contaminants such as hair, fluff, dust or the like which are retained by the filter element (12) are substantially deposited on the outside of the filter element, and that the outside of the filter element is positioned on the hair-care appliance in a manner providing substantially free access to the user, and that contaminants are removed by the user simply wiping over the outer side (26) of the filter element (12).