Multilayer material comprising a zirconium-based substrate covered with a multilayer coating, the multilayer coating comprising metallic layers composed of identical or different substances chosen from chromium, a chromium alloy or a ternary alloy of the Nb—Cr—Ti system. Such a material has improved resistance to oxidation in accident conditions of a nuclear reactor. The invention also relates to a multilayer coating, a part composed wholly or partly of the multilayer material or of the multilayer coating, as well as the method for manufacturing the multilayer material such as for example a magnetron cathodic sputtering process.