A disclosed multiple-effect alternate evaporation system comprises a material-solution total pipe, a steam total pipe, multiple-effect evaporators in successive serial connection between the material-solution total pipe and the steam total pipe, and a first forced circulation evaporator connected with a final-effect evaporator. The multiple-effect alternate evaporation system aims at mother solutions with complex compositions and high impurity content, is provided for reducing production stop caused by scaling of falling-film tubes during evaporation, and guarantees continuous production of evaporation of mother solutions.