When melting a glass layer 3 by irradiating a region to be fused R therealong with a laser beam L1, the region to be fused R is irradiated therealong with the laser beam L1 having a first heat input, so as to melt the glass layer 3, the heat input is switched when the melting ratio of the glass layer 3 in a direction substantially orthogonal to a moving direction of the laser beam L1 exceeds a predetermined level, and the region to be fused R is irradiated therealong with the laser beam L1 having a second heat input smaller than the first heat input, so as to fix the glass layer 3 to a glass member 4. This inhibits the glass layer 3 from falling into an excessive heat input state and thus deters the glass layer 3 from crystallizing during burning. The glass member 4 is fused to a glass member 5 through the glass layer 3 thus deterred from crystallizing, so as to yield a glass fusing structure 1.