A part of a glass layer 103 disposed along a region to be fused R is irradiated with a laser beam L1, so as to form the glass layer 103 with a laser-absorbing part 108a having a high laser absorptance. Then, while using the laser-absorbing part 108a as an irradiation initiation position, the region to be fused R is irradiated therealong with a laser beam L2, so as to melt the glass layer 103 and fix the glass layer 103 onto a glass member 104. Since the irradiation initiation position for the laser beam L2 has already become the laser-absorbing part 108a, a stable region where the melting of the glass layer 103 is stable can be formed immediately from the start point for initiating the irradiation with the second laser beam or nearby. The glass member 104 is fused to a glass member 105 through the glass layer 103 having such a stable region formed throughout the region to be fused R, so as to yield a glass fusing structure 101.