In a process for the catalytic hydrogenation of a polymethylolalkanal or a monomethylolalkanal of the formula (I) ##STR00001## where R may be identical or different and are each a substituted or unsubstituted aliphatic hydrocarbon having from 1 to 22 carbon atoms, an aryl or arylalkyl group having from 6 to 22 carbon atoms or a methylol group, in the presence of a copper-containing catalyst, the hydrogenation feed comprising the polymethylolalkanal or monomethylolalkanal has a total content of metal ions of groups 3 to 14 of the Periodic Table of the Element of up to 5 ppm.