A connector which is capable of accommodating displacement between objects to be connected, and prevents an operation force required in connecting the connector and the objects and the amount of deformation of the contacts from becoming too large. A plurality of contacts are each provided with contact portions which sandwich a plate-shaped contact portion of a contact (first object to be connected) in a manner capable of relatively pivoting in a direction of thickness thereof, and contact portions which sandwich a plate-shaped contact portion of a contact (second object to be connected) in a manner capable of relatively pivoting in a direction of thickness thereof. The contacts are accommodated in a contact-accommodating hole of a housing in a manner capable of pivoting in the direction of the thickness of each of the contact portions of the first and second objects to be connected.