A method for producing a silylated polyurethane including the steps: (A) converting (i) at least polyol compound having a molecular weight of 4,000-30,000 g/mol and at least one monofunctional compound relative to isocyanates and (ii) at least one diisocyanate at a stoichiometric excess of the sum of the polyol compound(s) and monofunctional compound relative to the diisocyanate compound(s), whereby a hydroxyl-terminated polyurethane prepolymer is formed; and (B) converting the polyurethane prepolymer and one or more isocyanate silane(s) of the formula (I): OCN-R-Si-(R1)m(-OR2)3-m, where m is 0, 1 or 2, each R2 is an alkyl radical having 1 to 4 carbon atoms, each R1 is an alkyl radical having 1 to 4 carbon atoms, and R is a difunctional organic group. Also compounds comprising the silylated polyurethane that can be so produced, and the use thereof as an adhesive and sealant or coating composition.