The present invention relates to a polymerizable composition comprising, as a component A, at least one silicon-organic compound having at least two ≡Si—H groups that are reactive in the hydrosilylation reaction and, as a component B, at least one benzoxazine compound having at least two unsaturated carbon-carbon bonds that are reactive in the hydrosilylation reaction with the component A. Additional objects of the present invention include adhesives, sealants or coatings containing the polymerizable composition according to the invention, and the polymerization products of said components.