The invention relates to moisture-curing compositions which comprise at least one aromatic isocyanate group-bearing polyisocyanate and at least one dialdimine of formula (I). The compositions according to the invention have a longer open time and at the same time a shorter curing time, they are storage-stable and cure without forming bubbles. They are especially suitable as adhesives, sealing agents, potting compounds or coating materials, the use as sealing agents being especially advantageous. ##STR00001##