The present invention relates to a method for producing sulfonic acid amines of the general formula (I) R1R2N-S(O)2-NH2 (I), where R1 and R2 are independent of each other and stand for a primary alkyl radical having 1 to 8 C atoms, a secondary alkyl radical having 3 to 8 C atoms, or a cycloalkyl radical having 5 to 8 C atoms, or, together with the nitrogen atom, form a 5- to 8-member saturated nitrogen heterocyclic compound that can comprise, in addition to the nitrogen atom, an additional hetero atom, selected from O and S, as a ring member, wherein the nitrogen heterocyclic compound is unsubstituted, or can comprise 1, 2, 3, or 4 alkyl groups each having 1 to 4 C atoms as substituents. The method comprises the following steps: i) conversion of a secondary amine of the formula (II) R1R2NH (II), where R1 and R2 have the meaning indicated above, having sulfuryl chloride in an inert, particularly aromatic, solvent in the presence of a tertiary amine, to form a sulfamoyl chloride of the formula (III) R1R2N-S(O)2-CI (III), where R1 and R2 have the meaning indicated above, and ii) conversion of the sulfamoyl chloride of the formula (III) obtained in step i) using ammonia, wherein in step ii) the sulfamoyl chloride of the formula (III) is used in the form of the solution obtained in step i) in the inert, particularly aromatic, solvent.