A method for producing cesium hydroxide solutions, wherein - A) cesium-containing ore is disintegrated with sulfuric acid with formation of cesium aluminum sulfate hydrate (cesium alum) which is sparsely soluble in the cold, - B) the cesium alum formed is separated as a solution from the solid ore residues, - C) the aluminum is precipitated out of the cesium alum solution with formation of a cesium sulfate solution, - D) the cesium sulfate solution formed is reacted with barium hydroxide or strontium hydroxide with formation of a cesium hydroxide solution, and - E) the cesium hydroxide solution formed is concentrated and purified, characterized in that the disintegration A) is carried out with an overstoichiometric quantity of sulfuric acid relative to the quantity of ore used, wherein, in the disintegration, the mixing ratio of cesium-containing ore, which has a Cs content of 20 to 24% by weight, to water to concentrated sulfuric acid = 1.0:(1.2 to 1.6):(1.2 to 1.6), and the cesium alum formed B) after separation of the solid ore residues is purified by 6 recrystallizations and the use of the mother liquors in the 1 st, 2 nd and 3 rd recrystallizations and by the performance of the 4 th, 5 th and 6 th recrystallizations with deionized water, the cesium sulfate solution formed in C) is concentrated to a content of 20 to 70% by weight of cesium sulfate and, with addition of activated charcoal as filtration agent, is further purified, wherein the added quantity of activated charcoal is 0.5 to 5% by weight with respect to the dissolved quantity of cesium sulfate, the reaction D) is run at first stoichiometrically and subsequently with addition of additional base (preferably Ba 2 or Sr 2) to the still hot reaction mixture at 80 to 100 °C, wherein the added quantity of the base - with respect to the quantity of cesium hydroxide - is 0.7 to 3.5% by weight, and the cesium hydroxide solution formed in E) is concentrated by evaporation to a CsOH content of 45 to 55% by weight and mixed with carbon dioxide or with a carbonate or hydrogen carbonate which is soluble in the hydroxide solution, wherein the quantity of carbon dioxide to be used in the process is, with respect to 1000 kg of cesium hydroxide, between 2.5 and 10 kg, and the additions of carbonate or hydrogen carbonate correspond to the addition of carbon dioxide and have to be converted accordingly. - A) cesium-containing ore is disintegrated with sulfuric acid with formation of cesium aluminum sulfate hydrate (cesium alum) which is sparsely soluble in the cold, - B) the cesium alum formed is separated as a solution from the solid ore residues, - C) the aluminum is precipitated out of the cesium alum solution with formation of a cesium sulfate solution, - D) the cesium sulfate solution formed is reacted with barium hydroxide or strontium hydroxide with formation of a cesium hydroxide solution, and - E) the cesium hydroxide solution formed is concentrated and purified, characterized in that the disintegration A) is carried out with an overstoichiometric quantity of sulfuric acid relative to the quantity of ore used, wherein, in the disintegration, the mixing ratio of cesium-containing ore, which has a Cs content of 20 to 24% by weight, to water to concentrated sulfuric acid = 1.0:(1.2 to 1.6):(1.2 to 1.6), and the cesium alum formed B) after separation of the solid ore residues is purified by 6 recrystallizations and the use of the mother liquors in the 1 st, 2 nd and 3 rd recrystallizations and by the performance of the 4 th, 5 th and 6 th recrystallizations with deionized water, the cesium sulfate solution formed in C) is concentrated to a content of 20 to 70% by weight of cesium sulfate and, with addition of activated charcoal as filtration agent, is further purified, wherein the added quantity of activated charcoal is 0.5 to 5% by weight with respect to the dissolved quantity of cesium sulfate, the reaction D) is run at first stoichiometrically and subsequently with addition of additional base (preferably Ba 2 or Sr 2) to the still hot reaction mixture at 80 to 100 °C, wherein the added quantity of the base - with respect to the quantity of cesium hydroxide - is 0.7 to 3.5% by weight, and the cesium hydroxide solution formed in E) is concentrated by evaporation to a CsOH content of 45 to 55% by weight and mixed with carbon dioxide or with a carbonate or hydrogen carbonate which is soluble in the hydroxide solution, wherein the quantity of carbon dioxide to be used in the process is, with respect to 1000 kg of cesium hydroxide, between 2.5 and 10 kg, and the additions of carbonate or hydrogen carbonate correspond to the addition of carbon dioxide and have to be converted accordingly.