The present invention relates to a continuous method for producing primary aliphatic amines with 3 to 18 carbon atoms in the molecule by reductive amination of the corresponding aliphatic aldehydes. The reaction takes place without solvent, wherein the aldehyde used is reacted with hydrogen and ammonia in the presence of a hydrogenation catalyst above the critical point of ammonia and more than 16 mol of ammonia is used per mol of aldehyde used.