Silicon carbide single crystal is produced by allowing a silicon raw material to continuously react with a carbon raw material to generate gas, which reaches a seed crystal substrate on which a silicon carbide single crystal grows. Preferably, the silicon raw material is continuously fed onto the carbon raw material placed in a reaction crucible, and the carbon raw material is maintained at a temperature such that carbon is allowed to react with silicon in a molten state or a gaseous state to generate the reaction gas. An apparatus used for producing the silicon carbide single crystal comprises a reaction crucible, and a seed crystal substrate disposed in the reaction crucible; and further comprises means for maintaining the carbon raw material placed in the reaction crucible at a temperature such that carbon is allowed to react with silicon in a molten state or a gaseous state to generate the reaction gas, and means for continuously feeding the silicon raw material onto the carbon raw material placed in the reaction crucible.