A connector structure includes a hood formed in a housing and having a bottomed tubular shape, a mating hood formed in a mating housing and fitted inside the hood, a plate spring member made of metal and accommodated in a bottom of the hood, a playing regulating member, a mating hood tip end inclined surface formed at a tip end of the mating hood in a fitting direction and inclined to a tube inner side or a tube outer side, and a playing regulating protrusion. The playing regulating member is provided in an opposite side against the bottom with the plate spring member interposed therebetween and is urged by the plate spring member in a direction opposite to a fitting direction against the mating hood.