A method for producing a silylated polyurethane that comprises the following steps: (1) reacting at least one polyether polyol having a number average molecular weight of at least 2,000 g/mol with at least one polyisocyanate in the presence of at least one solvent; (2) reacting the reaction product of step (1) with at least one silane of formula (I) A-R—SiXYZ (I), where A means —NH2 or —NHB, wherein B stands for a branched or linear alkyl radical with 1-12 C atoms, possibly having functional groups, a cyclic alkyl radical having 5-8 C atoms, or an aryl radical, R is a divalent hydrocarbon radical having 1-12 C atoms, and X, Y, Z are substituents on the Si atom and are independently of each other C1-C8 alkyl, C1-C8 alkoxy or C1-C8 acyloxy groups, wherein at least one of radicals X, Y, Z is a C1-C8 alkoxy or C1-C8 acyloxy group, in the presence of at least one solvent. Further disclosed is a silylated polyurethane that can be produced by the method, a curable composition based thereon, and the use of such a composition as an adhesive, sealant and/or coating material.