A filter device for filtering particles from an air flow has an inlet channel through which the air to be cleaned flows, at least one filter element through which the air can flow and which is held replaceably in a flow channel, and an outlet channel through which the cleaned air flows. The filter device has an insertion chamber which can be closed by a door and from which a filter element can be fed to the flow channel, and an output chamber which can be closed by a closure element and into which a filter element can be fed from the flow channel. A cover is attachable to the filter element, which covers a filter cake on the filter element so that the unit of filter element and cover is removable from the output chamber together.