The present invention provides a catalyst containing titanium in bonded form, non-crystalline silicon dioxide and at least one crystalline silicate phase which has a zeolite structure, wherein the non-crystalline silicon dioxide is applied to at least one of the crystalline silicate phases which have a zeolite structure and wherein at least one of the crystalline silicate phases which have a zeolite structure contains silicon-carbon bonds with which non-hydrolytically separable organic groups R are bonded to silicon. Furthermore, the present invention provides a process for preparing this catalyst and a process for producing an epoxide from a compound which contains a carbon-carbon double bond (preferably from propene) comprising reacting the compound which contains a carbon-carbon double bond with hydrogen peroxide in the presence of the catalyst according to the invention.