Provided is a method for producing a glass material by a containerless levitation technique, which enables production of a large-sized glass material. The method includes the steps of: preparing a forming member and a cover member 20, the forming member including a gas jetting portion 11 in which a plurality of gas jet holes 12 for use in levitating a block of glass raw material are formed, the cover member 20 which is capable of covering a peripheral portion of a gas jetting surface 13 of the gas jetting portion 12 and in which a controlling surface 21 controlling, near the peripheral portion of the gas jetting surface 13, a flow of gas jetted through the gas jet holes 12 is formed and an opening 25 capable of releasing the gas to outside is formed; placing the block of glass raw material on top of the gas jetting surface 13 and covering the peripheral portion of the gas jetting surface 13 with the cover member 20; and heating the block of glass raw material to melting while holding the block of glass raw material levitated by jetting the gas through the gas jet holes 12 and then cooling the melted block of glass raw material.