A backflushable filtering apparatus for fuel or luboil filter of a motor includes inlet and outlet flow channels, parallel filtering elements open from their ends, in which infiltration occurs from through their jackets, and washing organs at different ends of the filtering elements, the organs connecting alternately to different ends of the filtering elements to provide discharge channels for the backflushing of elements generated by the pressure of the filtered flow. Each of the filtering elements is divided in two by a solid partition or constriction between its ends so that the connected washing organ generates backflushing only to a part of the element length at a time. The parts of the filtering element are functionally independent, and the one part may be backflushed at the same time as the filtering goes on in the other part.