The invention relates to a water purifier or water purifying plant with a circulating filtration function of filter elements; the water purifier or water purifying plant comprises a raw water inlet (1), an electromagnetic valve or an intelligent valve A (2), a zero-stage or one-stage or above than one-stage preposed filter element (3), a one-stage or above than one-stage filter element (4), a pump, an RO (Reverse Osmosis) membrane or a nanofiltration membrane or an ultrafiltration membrane or a microfiltration filter element, a concentrated water pipeline, a connecting pipeline 6B, a tee joint 6B1, zero or one or more than one pressure water storage barrels, zero or one or more than one postposed filter elements with air pressure or without air pressure or pressure water storage cavities or barrels or connecting pipes, a purified water outlet or a next-stage filter element interface, an electromagnetic valve or an intelligent valve and the like; the raw water inlet is communicated with the electromagnetic valve or the intelligent valve A, a connecting pipeline 2A, the zero-stage or one-stage or higher than one-stage preposed filter element, a connecting pipeline 2B, the one-stage or above than one-stage filter element, a connecting pipeline 2C, a tee joint 5A, the pump, and the RO membrane or the nanofiltration membrane or the ultrafiltration membrane or the microfiltration filter element; and the tee joint 5A is communicated with the pump, the RO membrane or the nanofiltration membrane or the ultrafiltration membrane or the microfiltration filter element, a connecting pipeline 2E, the zero or one or more than one postposed filter elements with air pressure or without air pressure or the pressure water storage cavities or the barrels or the connecting pipes, a connecting pipeline 2D and the tee joint 5A in a circulation manner.