The invention discloses a composite concrete retarder, made from, by weight, 2-6 parts of sodium fluorosilicate, 3-9 parts of sodium dihydrogen phosphate, 4-8 parts of ammonium bicarbonate, 4-6 parts of ammonium persulfate, 7-9 parts of glycine, 2-6 parts of sodium carboxymethyl cellulose, 2-4 parts of shell-lac, 1-3 parts of ammonium oxalate, 10-15 parts of halloysite, 15-20 parts of Al2O3-ZrO2 porous ceramic powder, 2-5 parts of a water-reducing agent, 1-3 parts of a dispersant, and 0.3-0.6 part of a surfactant. The composite concrete retarder has the advantages of good retarding effect, high strength, zero pollution and the like, and is a concrete admixture that is promising.