A cooking device includes a frame to form a cooking chamber; a burner disposed in the cooking chamber and to generate a flame for supplying heat to the cooking chamber; a burner cover in which the burner is installed and having a plate with an outlet opening through which an air passes; a fan to flow an air of the cooking chamber; and a stabilizer to reduce an influence of the air on a flame of the burner when the air of the cooking chamber passes through the outlet opening of the burner cover by the fan. The stabilizer includes: a body having an opening for air passage; a barrier extended from the body; and a fastening unit for fastening the body to the burner cover, and while the fastening unit is fastened to the burner cover, the body is spaced apart from the plate of the burner cover.