The invention discloses a method for preparing alpha high-strength 
gypsum from a freezing method nitrophosphate byproduct 
calcium nitrate tetrahydrate. The method comprises the following steps: decomposing 
phosphorite by utilizing 
nitric acid; filtering out acid-insoluble substances, carrying out freezing 
crystallization on an acidolysis solution, filtering out 
calcium nitrate tetrahydrate, regulating the concentration of 
calcium ions in a 
calcium nitrate solution, respectively preheating the 
calcium nitrate solution, 
phosphoric acid and 
ammonium sulfate mixed solution to 95-110 DEG C, mixingin a 
crystallization tank, and carrying out constant-temperature reaction for 8-12 hours to directly obtain the alpha-type high-strength 
gypsum product; the 
mass percent of the decalcifying acid solution for preparing the 
mixed solution of 
phosphoric acid and 
ammonium sulfate in the step (5) is less than or equal to 35%, and the 
mass percent of the decalcifying acid solution for preparing the 
calcium nitrate solution in the step (4) is less than or equal to 50%. The method disclosed by the invention has the beneficial effects that the high-purity and high-quality alpha high-strength 
gypsum isproduced by utilizing the byproduct 
calcium nitrate tetrahydrate of the existing freezing method nitrophosphate 
fertilizer process flow, the new application of the 
calcium nitrate tetrahydrate is increased, the operation is simple, and the cost is low.