There is provided a process for producing a fluoroalkanesulfonamide derivative represented by the formula [3],R2—NH—SO2—Rf—R1 [3]including reacting a fluoroalkanesulfonic anhydride represented by the formula [1], with an organic primary amine represented by the formula [2], in the presence of water and in the presence of a base selected from the group consisting of (a) a hydroxide of an alkali metal or alkaline-earth metal or (b) a basic salt containing an alkali metal or alkaline-earth metal.