The present invention relates to a method for complex processing of apatite concentrate resulting in producing concentrate of rare earth metals (REM) and plaster from phosphogypsum, a waste of sulphuric acid technology for producing phosphoric acid from apatite. The method comprises leaching of REM into solution by recrystallization of hemihydrate or anhydrite of calcium sulphate into dihydrate of calcium sulphate with a soluble calcium salt at concentrations of 0.075-3.75 M (in terms of Ca2+) and strong acid (pKa0) at a concentration of 0.2-8.0 M (in terms of H+). Recovery of REM into solution is up to 98%, the residual content of impurities of phosphorus, fluorine and alkali metals in dihydrate of calcium sulphate does not exceed 0.3 wt. %, 0.1 wt. %, 0.05 wt. %, respectively.