In a connector for a small circuit board, contacting means is formed independently of elastic means that provides contact pressure on the small circuit board when the edge portion of the small circuit board is fitted to the connector. The contacting means comprises for example an insulator film and electrical contacts corresponding to terminals of the plate object. The insulator has first and second surfaces and the electrical contacts are formed on the first surface. The elastic means is for example arranged within a housing of the connector. Within the housing, the second surface of the insulator is fixed on the elastic means, so that the electrical contacts are also arranged on the elastic means via the insulator film. When the edge portion of the small circuit board is accommodated within the housing, the elastic means gives the contact pressure to the edge portion of the small circuit board so that the electrical contacts are connected with the terminals of the small circuit board.