The invention relates to polyurethane compositions which comprise at least one cycloaliphatic isocyanate group bearing polyurethane polymer P and at least on cycloaliphatic dialdimine. Compositions of this type are especially suitable as elastic adhesives and sealing agents and as coating materials and are characterized by their photostability and good storage stability while having good processing properties. The compositions according to the invention cure quickly, without forming bubbles and giving off odors. When cures, they are highly stable and have little surface tack and little tendency to exudates components that are capable of migration.