A steam cooking apparatus includes a steam generating unit to generate steam from a supply of water, a steam container to cook food using the steam from the steam generating unit, a steam supply pipe coupled to the steam generating unit in order to supply the steam container with the steam generated by the steam generating unit, a steam pipe coupled to the steam container in order to supply the steam container with the steam passing through the steam supply pipe, and a steam pipe connection tube including a first connection portion coupled with the steam supply pipe and a second connection portion coupled with the steam pipe, the second connection portion coupled with the steam pipe being formed to have a diameter which is expanded toward the steam pipe so as to guide the steam pipe.