The disclosure is to provide a method for producing a core-shell catalyst that is able to increase the power generation performance of a membrane electrode assembly. A dispersion is prepared, in which a palladium-containing particle support, in which palladium-containing particles are supported on an electroconductive support, is dispersed in water; hydrogen gas is bubbled into the dispersion; the palladium-containing particles are acid treated after the bubbling; copper is deposited on the surface of the palladium-containing particles by applying a potential that is nobler than the oxidation reduction potential of copper to the palladium-containing particles in a copper ion-containing electrolyte after the acid treatment; and then a shell is formed by substituting the copper deposited on the surface of the palladium-containing particles with platinum by bringing the copper deposited on the surface of the palladium-containing particles into contact with a platinum ion-containing solution.