The present invention relates to a process for the industrial preparation of a diamine starting from a corresponding alkenyl nitrile comprising at least one C—C double bond, which comprises the steps (a) reaction of the alkenyl nitrile with a corresponding monoamine in a first reactor so that the monoamine adds exothermically onto the at least one double bond to form an aminoalkyl nitrile, with the monoamine and water being charged initially and the alkenyl nitrile being fed in; (b) evaporation of unreacted alkenyl nitrile and monoamine to increase the concentration of the aminoalkyl nitrile product in the bottoms of the first reactor; (c) transfer of the aminoalkyl nitrile bottom product from step (b) to a second reactor; (d) batchwise catalytic hydrogenation of the aminoalkyl nitrile transferred in step (c) to the diamine in the second reactor, with each batch being obtained by initially charging a catalyst suitable for the hydrogenation of nitriles to amines and also water, the desired diamine and a base, introducing hydrogen into the second reactor and feeding in the aminoalkyl nitrile transferred in step (c); and (e) isolation of the diamine and, if appropriate, repetition of the steps (a) to (e). The invention further relates to an apparatus for preparing these diamines and the use of the apparatuses. A preferred diamine is 3-dimethylaminopropylamine (DMAPA).