The invention provides a high-temperature-resistant pressurized graded type composite dust remover. A pressurized air inlet mechanism is mounted on the outer wall of the barrel wall of the dust remover in the tangential direction, a high-temperature-resistant composite dust removal mechanism comprises ceramic filter sleeves and filter elements, two layers of tube plates are arranged to divide a dust removal chamber into upper, middle and lower parts, multiple rows of filter elements are hung on the tube plate on the uppermost layer, multiple rows of ceramic filter sleeves are hung on the tubeplate on the lowermost layer, the filter elements and the ceramic filter sleeves are in one-to-one correspondence, the corresponding filter element is sleeved with each ceramic filter sleeve, fine through holes are formed in the filter elements and the filter sleeves, the hole diameter is larger than the surface hole diameter of the filter elements, openings at one end of the ceramic filter sleeves are connected with the tube plates, openings at the other end are connected with a filter sleeve ash removal device, one end of the filter sleeve ash removal device is an air inlet, and the other end is connected with an ash hopper. Multiple dust removal structures classify and recover dust in flue gas according to particle sizes, the pressure is enough to complete multistage separation, and theproblem of poor dust removal effect due to high-temperature damage and insufficient pressure in the prior art is solved.