The development of cracks or breakage in a glass material during production of the glass material by a containerless levitation technique is reduced. A glass material is obtained by heating a levitated block 12 of glass raw material to melting by irradiation of the block 12 of glass raw material with laser light to thus obtain a molten glass and then cooling the molten glass. A first irradiation step and a second irradiation step are performed. In the first irradiation step, the levitated block 12 of glass raw material is heated to melting by irradiating the block 12 of glass raw material with the laser light. In the second irradiation step, an intensity of the laser light being applied to the molten glass is reduced and irradiation with the laser light is then stopped.