The invention belongs to the technical field of organic wastewater treatment, and relates to a method for catalyzing a monopersulfate to generate sulfate radicals to decompose an organic matter. The method comprises the following steps: performing ultrasonic dissolution on Co(NO3)2.6H2O, Cu(NO3)2.3H2O and an SBA-15 molecular sieve, placing the dissolved material into a tubular furnace, performingroasting, performing drying, performing grinding to obtain a Cu0.7Co2.24O4/SBA-15 catalyst, performing activation on the monopersulfate by utilizing the Cu0.7Co2.24O4/SBA-15 catalyst, and performing degradation on a sulfapyridine solution. According to the method disclosed by the invention, Cu0.7Co2.24O4 in the catalyst is uniformly attached to the pores or surface of the SBA-15, so that stabilityof the catalyst in the reaction system can be effectively enhanced, and sites of the reaction of the monopersulfate and the catalyst are improved; and a high specific surface area of the SBA-15 effectively improves a speed of activation of the sulfate radicals, the reaction is faster, a utilization rate of the reactants is effectively improved, and the degradation efficiency is greatly improved.