A process for producing an electrode material by infiltrating a highly conductive metal such as Cu into a porous object containing heat-resistant elements. Before an infiltration step in which the highly conductive metal is infiltrated, a HIP treatment is given to a powder containing the heat-resistant elements (or to a molded object obtained by molding a powder containing the heat-resistant elements). The composition is controlled so that the HIP treatment yields a porous object which has a degree of filling of 70% or higher, more preferably 75% or higher. The highly conductive metal is infiltrated into the porous object having the controlled composition.