A household laundry dryer has at least one filter container which includes a chamber with an inlet for condensate water to be cleaned. The chamber has a first outlet, a second outlet and a filter element which is arranged between the inlet and the first outlet and which divides the chamber into an inlet-side first chamber part and a second chamber part. The filter container can be configured in such a way that the inlet is arranged below the filter element and the filter element is arranged below the first outlet, and the second outlet opens into the first chamber part. Particles deposited on the filter element by water being pushed through the inlet into the chamber are detachable from the filter element by water flowing back into the chamber, when no water is being pushed through the inlet, and removable through the second outlet.