A composition including at least one polymer containing silane groups, at least one epoxy resin, and at least one amine of the formula (I). The composition is low in odor, low in toxicity, and highly workable. It enables low-emission products which cure rapidly at ambient temperature to form macroscopically homogeneous films or bodies having good mechanical properties, high thermal stability and good adhesion properties, the mechanical properties being able to be adjusted from very elastic through to tough elastic. The composition is especially suitable as adhesive and/or sealant or coating.