The invention discloses a PRC-APMP pulping method of Eucalyptus urophylla. The preparation steps of the PRC-APMP pulping method comprise: peeling Eucalyptus urophylla wood, chipping, screening, and feeding into a material bin so as to be stored; carrying out first-stage pre-steaming on the wood sheets, washing the wood sheets, feeding into a wood sheet mixing groove, conveying to a single screw dewatering machine by a wood sheet pump, and dewatering; carrying out second-stage pre-steaming on the wood sheets, carrying out first-stage extrusion on the wood sheets, carrying out first-stage soaking on the wood sheets, carrying out second-stage extrusion on the wood sheets, carrying out second-stage pre-soaking on the wood sheets, and grinding by a first-stage disc mill; sequentially carrying out cyclone separation, cooling spiral cooling, and high-concentration bleaching operation; carrying out dewatering concentration by a screw pulp extruder; grinding by a second-stage disc mill; carrying out cyclone separation; placing in a latent state eliminating pool to eliminating latent state; grinding by a double-disc mill; placing in a middle pool; screening by a pressure sieve; treating by abuffer pool; concentrating by a multi-disc concentrating machine; adding sulfuric acid to adjust the pH value; and feeding into a pulp storage tower. According to the present invention, the Eucalyptus urophylla is used as the preparation raw material, and the process and the process parameters are determined according to the characteristics of the Eucalyptus urophylla, such that the pulping costis low, the pulp quality is good, the use requirements of high-grade cultural paper production are met, and the produced paper has high thickness.