A process for producing amino-functional polysiloxanes by reacting the components A) identical or different terminally hydroxy-functional, linear or branched polysiloxanes, B) identical or different alkoxysilanes of the formula R1xR23-xSiR3  (I) where R1 is identical or different alkyl radicals having 1 to 4 carbon atoms, R2 is identical or different alkoxy radicals having 1 to 4 carbon atoms, R3 is an organic radical having at least one nitrogen atom, x=0 to 2, and C) water, in the presence of D) one or more phosphorus-containing, Brønsted-acidic compounds, to the correspondingly obtainable polysiloxanes containing nitrogen-containing groups, and to the use thereof are provided.