The invention relates to organopolysiloxanes containing at least one unit of formula (I) R.sub.2SiO.sub.2/2, at least one unit of formula (II) (R.sup.5O)R.sub.2SiO.sub.1/2, and at least one unit of formula (III) (R.sup.1R.sup.2N--CR.sup.10.sub.2--)RSiO.sub.2/2, whereby the radicals and indices have the meanings as cited in Claim 1. The invention also relates to the production of these organopolysiloxanes and to their use in substances that can be cross-linked at room temperature, particularly in those that cross-link while alcohols are separated.