To provide connector structure which does not generate careless bucklings or damages in a first contact and can make the overall structure compact.

A first contact 10 is constituted with a spiral conductive elastic member, a folding back part 10c which makes contact with a probe is formed in the tip of the first contact 10, and the inside 10d of the folding back part 10c is plunged into the region of the insertion position of the probe for fixing. A projection 27 is formed on the outside of the tip of the conductive elastic member to form a contact part with a second contact 11. By the plunging of the probe, the probe and the folding back part 10c are made electrically conductive, a contact part main body 10b is deformed elastically to separate the projection 27 from the second contact 11 for insulation. Since the span of the spiral first contact 10 is sufficiently, buckling or break is hardly generated, and connector structure 9 is made compact.