The invention relates to a moisture-curing, NCO-reactive polyurethane hotmelt adhesive composition to a process for its production and to its use as an adhesive wherein the hot-melt adhesive characterized by a reaction product obtainable by reaction of:A) a mixture of:i) polyfunctional polyol component which is liquid or highly viscous (paste-like) at room temperature (25.degree. C.) and which has an average molecular weight of 500 to 5,000 and which is consisting of at least one polyether and/or polyester polyol, andii) a polyfunctional polyol component which is crystalline at room temperature (25.degree. C.) and which has a molecular weight of 500 to 10,000 and preferably 2,000 to 5,000with a mixture ofB)i) a polyisocyanate component containing two differently reactive NCO groups andii) a diisocyanate component having an NCO reactivity to hydroxyl groups which is greater than that of the less reactive NCO groups of the polyisocyanate component containing two differently reactive NCO groups,the overall ratio of NCO:OH groups being greater than 1, and the ratio of the NCO groups of the polyisocyanate component containing two differently reactive NCO groups to the OH groups of the polyol component i) being between 1.05 and 2.0 and the ratio by weight formed from the quantity of polyol component to the quantity of the polyisocyanate component containing two differently reactive NCO groups and the quantity of the crystalline polyol component, the diisocyanate component containing isocyanate groups which are more reactive to OH groups than the less reactive NCO groups of the isocyanate containing two differently reactive NCO groups being between 10 and 0.1.