The invention discloses a synthesis method of calcium hydroxide with a high specific surface area, and belongs to the technical field of calcium hydroxide synthesis. A calcium chloride solution is dropwise added into a mixed solution of cetyl trimethyl ammonium bromide and liquid caustic soda to generate calcium hydroxide molecules, a crystallization phenomenon is generated after the concentration of calcium hydroxide in a system exceeds the saturation degree, in the synthesis process, cetyl trimethyl ammonium bromide is added to carry out in-situ modification on the product to prevent particle aggregation, Brownian motion is slowed down to effectively control the aggregate, in the post-treatment process of calcium hydroxide, self-made graphene modified carboxymethyl-beta-cyclodextrin is added, graphene modified carboxymethyl-beta-cyclodextrin is cross-linked to form a net structure, calcium hydroxide molecules are dispersed in the net structure, agglomeration among the molecules can be effectively prevented, in the applied deacidification gas reaction, the dispersity of binding sites of calcium hydroxide and acid gas is good, and the reaction is more efficient.