To provide a glass fusing furnace which can avert the deposition of platinum group elements.

Three or more inclined walls 21, right side junctures which can be touched by the left side marginal end faces of these inclined walls 21, and corner members 22 having left side junctures which bend to be integrally continuous with the right side junctures and can be touched by the right side junctures of the inclined walls 21 are composed of refractory materials. The inclined walls 21 and the corner members 22 are alternately arranged to circumferentially encircle the fusing space to be formed and thereafter the marginal end faces of the inclined walls 21 and the juncture of the corner members 22 are butted against each other to form the fusing space downwardly narrowed in the horizontal opening section. Since the right side junctures and left side junctures of the corner members 22 are integrated, gaps are not formed between both the junctures and the deposition of the platinum group elements to the corner members 22 can be averted.