A connector to be detachably fitted with a connecting object, includes a required number of contacts, a housing, and a pivoting member acting upon the contacts to bring them into contact with a connecting object. In case of having many contacts, at least one contact is provided with an extended portion at a tip of its pressure receiving portion to extend toward its connection portion, and instead of a pushing portion of the pivoting member acting upon the contact, the pivoting member is provided with an engaging rod to engage the extending portion of the contact. The contact is arranged at an optional position so as to prevent the pivoting member from being warped. The contacts are arranged in a single row, or alternately arranged to be staggered. With the connector thus constructed, the pivoting member is not damaged when pivotally moving after the connecting object has been inserted to achieve a stable electrical connection even with very small pitches of contacts and very thin walls of the housing.