The present invention provides a cylindrical shape automatic riveted-joint apparatus which riveted joints a screen drum U-shaped loop with a screen bar in manufacturing a pressure screen. The apparatus is mainly used for solving problem of micro deformation caused by welding the screen drum U-shaped loop with the screen bar in the prior art. The apparatus comprises a transmission pair composed bya bidirectional leading screw and a positioning block nut, the positioning block nut is fixed on an outer wall of a main body through a guide rail and a support, a positioning block guide rail and a positioning block are arranged on the positioning block nut, a pneumatic-rivet gun nut is fixed on an inner wall of the main body through the guide rail and the support, the pneumatic-rivet gun nut and the bidirectional leading screw comprise the transmission pair, the pneumatic-rivet gun is arranged on the pneumatic-rivet gun nut through the pneumatic-rivet gun positioning block and the guide rail; an U-shaped loop positioning rule holder is arranged on the outer wall of the main body of the riveted-joint apparatus, an U-shaped loop limiter is arranged on the U-shaped loop positioning rule holder through the U-shaped loop positioning rule and a slide block, the U-shaped loop limiter is arranged on a slide block holder of an U-shaped loop limiting pile through the U-shaped loop limiting pile and the slide block. The apparatus has advantages of processing circumference riveted joint automatically and no deformation.