The present invention relates to support-fixed bleaching catalyst(s)suitable or the catalysis of peroxide compounds, characterized in that the support-fixed bleaching catalyst(s) is/are covalently bonded to a support by means of at least one organic ligand of the bleaching catalyst. The bleaching catalyst(s) form(s) a complex with at least on transition metal. The invention further relates to support-fixed bleaching catalysts for the catalysis of peroxide compounds, where at least one ligand, covalently bonded to a support, is a transition-metal-free ligand, which chelates with transition metal, derived from another source, preferably from the bleaching composition and/or added water and thus forms the complex with a transition metal.