The invention relates to moisture-curable compositions that are provided with increased elasticity while having good mechanical properties and adhesion. Said compositions contain at least on silane-functional polymer A, at least one aminosilane AS2, and at least one a-functional organodialkoxysilane at an amount of 0.6 to 5.0 parts by weight relative to 100 parts by weight of polymer A. Also disclosed are the production and use of the inventive compositions, especially as a sealant and adhesive.