The　composite　alpha-(Fe,Cu)OOH/RGO　was　synthesized　via　one-step　reflux　method.　The　as-obtained　catalyst　was　analyzed　by　means　of　X-ray　powder　diffraction,　scanning　electron　microscopy,　X-ray　photoelectron　spectroscopy　and　other　characterization　methods.　With　30　mg.L-1　ciprofloxacin　(CIP)　as　the　target　pollutant,　the　effect　of　the　catalyst　obtained　under　different　synthesis　conditions　on　the　removal　of　CIP　by　H2O2　under　visible　light　was　investigated.　The　results　show　that　alpha-(Fe,Cu)OOH　nanorods　were　grown　in　situ　on　two-dimensional　graphene　sheets.　The　visible　light　absorption　edge　of　alpha-(Fe,Cu)OOH/RGO　composite　material　was　red-shifted　and　the　band　gap　was　changed　from　2.02　to　1.76　eV.　Graphene　composite　could　not　only　enhance　the　adsorption　capacity　of　pollutants,　but　also　accelerate　the　separation　and　transfer　rate　of　photogenerated　electrons,　as　well　as　improve　the　efficiency　of　electron　conduction　in　the　reaction　system.　The　best　catalytic　performance　was　gained　when　the　composite　content　(mass　fraction)　of　graphene　was　1%.　The　CIP　was　completely　removed　after　120　min　when　the　addition　of　catalyst　was　0.40　g.L-1　and　the　concentration　of　H2O2　was　0.10　mol.L-1.　The　removal　efficiency　of　CIP　reached　to　90%　even　after　five-time　reuse,　which　indicates　that　the　catalyst　has　strong　catalytic　activity　and　good　stability.