The invention discloses a method for decomposing a phosphate rock acidolysis liquid by nitric acid to remove calcium byproduct alpha high-strength gypsum. The method comprises: decomposing phosphoriteby nitric acid, filtering out acid insoluble substances, partially neutralizing the acidolysis liquid, regulating and controlling the concentration of calcium ions in the acidolysis liquid, adding the acidolysis liquid into a crystallization tank containing a mixed solution of additional phosphoric acid and ammonium sulfate, controlling the reaction temperature to be 50-70 DEG C and the reactiontime to be 0.5-2 hours to firstly generate dihydrate gypsum, then, making the reaction slurry flow into a crystal transformation tank, and raising the temperature to 95 to 110 DEG C for reacting for aperiod of time so that an alpha-type high-strength gypsum product can be produced as a byproduct. According to the invention, the acidolysis liquid can be used for producing products such as fine phosphate, high-water-solubility phosphate fertilizer and the like, meanwhile, calcium resources in the acidolysis liquid are converted into an alpha high-strength gypsum product, solid waste phosphogypsum is changed into product phosphogypsum, environmental risks caused by the fact that a large amount of solid waste phosphogypsum is produced as a byproduct in the ammonium phosphate industry are eliminated, the phosphorus compound fertilizer industry is promoted to adjust the product structure, solid waste emission is reduced, and sustainable development of the phosphorus chemical industry is promoted.