A connector structure for a camera having bayonet mounts on the side of a camera body and on the side of an accessory, the camera body and the accessory being interconnected by rotating the mounts round relative to each other and being disconnected by reversely rotating the mounts. A group of contact pins is arranged at a camera body side connector to be slidingly brought into contact with a group of contact pins arranged at an accessory side connector by the rotational mounting action. The group of contact pins at the accessory side connector being in paired contact with the pins of the group of contact pins at the camera body side connector to permit communication between the camera body and the accessory upon completion of the mounting action. A first conductive member is arranged to be electrically connected in parallel with a first contact pin among the group of contact pins arranged at one of the connectors. The first contact pin coming into sliding contact with only one of the group of contact pins arranged at another of the connectors while the two mounts are rotated relative to each other. A second conductive member is arranged at the other of the connectors to abut on the first conductive member upon completion of the mounting action to be electrically connected in parallel to a second contact pin which is arranged at the other of the connectors and abuts the first contact pin upon completion of the mounting action.