Refining method of molten metal which employs a refining apparatus provided with a tiltable refining vessel, a tuyere formed therein for blowing inert gas and/or flux or further sometimes additive alloy component(s), with the aid of inert gas into the molten metal, and a suitable number of electrodes for heating the molten metal and flux, for the purpose of performing a first refining process of carrying out the heating of the molten metal and the flux with the electrodes and a second refining process of tilting the vessel for blowing into the molten metal insert gas and others from the tuyere, whereby harmful or unnecessary metallic and/or non-metallic impure components can be removed for improving the quality of the article.