The present invention provides a method for producing a fluorine-containing alkane, which comprises reacting at least one fluorine-containing compound selected from the group consisting of chlorine-containing fluoroalkanes and fluorine-containing alkenes with hydrogen gas in the presence of catalysts, wherein two or more catalysts having different catalytic activities are used, and the fluorine-containing compound and hydrogen gas, which are starting materials, are sequentially brought into contact with the catalysts in the order of the catalyst having a lower catalytic activity followed by the catalyst having a higher catalytic activity. According to the present invention, in the method for producing a fluorine-containing alkane by using chlorine-containing fluoroalkane or fluorine-containing alkene as a starting material, and subjection it to a reduction reaction or a hydrogen addition reaction, the objective fluorine-containing alkane can be produced with high productivity.