A steam cooker having a main body, a cavity provided inside the main body, a steam generator provided to generate steam, a supply pipe connecting the steam generator to the cavity to supply steam into the cavity, a discharge pipe arranged to discharge the steam inside the cavity to the outside of the cavity, a discharge nozzle coupled to an end of the discharge pipe, and a cooling fan provided between the cavity and the main body to cool the cavity, and wherein the discharge nozzle is disposed adjacent to the bottom of the cooling fan such that steam discharged through the discharge nozzle is guided downward between the cavity and the main body by the cooling fan. The steam cooker can prevent the condensation water from falling down on the lower part of the main body.