A binder for self-compacting concrete includes, in dry weight of the-binder, 70 to 90% of Portland cement, 4 to 16% of calcium aluminate, 4 to 14% of calcium sulphate, an accelerator and a retarder, 0 to 2% of Ca(OH)2 and at least an additive with a water reducer. The calcium sulphate is in the form of anhydrite and the water reducer has at least a superplasticizer consisting of a water soluble or water dispersible organic compound, having at least an amino-di(alkylene-phosphonic) group and at least a polyoxyalkylated chain or at least one of its salts.