A connector (11, 21) for contacting a connection object (15, 25) of sheet shape having a conductor (15C, 15E) exposed on at least one surface of the connection object, the connector comprising: a plug contact having conductivity and including a tubular portion extending along a fitting axis, and a flange extending from an end portion of the tubular portion in an orthogonal direction orthogonal to the fitting axis; a bottom insulator (17, 27) having a support surface (17E, 27E) extending in the orthogonal direction or a direction inclined with respect to the orthogonal direction; and an inner contact (18, 28) having conductivity and being disposed on the support surface, characterized in that the inner contact includes a base portion of flat plate shape disposed on the support surface, and a first elastic portion (18E, 28E) and a second elastic portion (18F, 28F) that are joined to the base portion to face a rear surface of the flange and are elastically deformable in a direction along the fitting axis, and the connector is configured such that upon part of the connection object (15, 25) being sandwiched between a first contacting part of the rear surface of the flange of the plug contact and the first elastic portion of the inner contact in the direction along the fitting axis, the first contacting part of the rear surface of the flange can make contact with a front surface of the connection object, the first elastic portion (18E, 28E) can make contact with the rear surface of the connection object, and a second contacting part of the rear surface of the flange can make contact with the second elastic portion (18F, 28F), the second contacting part being different in position from the first contacting part, whereby the plug contact can be electrically connected to the conductor directly when the conductor is exposed on the front surface of the connection object, and the plug contact can be electrically connected to the conductor via the inner contact (18, 28) when the conductor is exposed on the rear surface of the connection object. a plug contact having conductivity and including a tubular portion extending along a fitting axis, and a flange extending from an end portion of the tubular portion in an orthogonal direction orthogonal to the fitting axis; a bottom insulator (17, 27) having a support surface (17E, 27E) extending in the orthogonal direction or a direction inclined with respect to the orthogonal direction; and an inner contact (18, 28) having conductivity and being disposed on the support surface, characterized in that the inner contact includes a base portion of flat plate shape disposed on the support surface, and a first elastic portion (18E, 28E) and a second elastic portion (18F, 28F) that are joined to the base portion to face a rear surface of the flange and are elastically deformable in a direction along the fitting axis, and the connector is configured such that upon part of the connection object (15, 25) being sandwiched between a first contacting part of the rear surface of the flange of the plug contact and the first elastic portion of the inner contact in the direction along the fitting axis, the first contacting part of the rear surface of the flange can make contact with a front surface of the connection object, the first elastic portion (18E, 28E) can make contact with the rear surface of the connection object, and a second contacting part of the rear surface of the flange can make contact with the second elastic portion (18F, 28F), the second contacting part being different in position from the first contacting part, whereby the plug contact can be electrically connected to the conductor directly when the conductor is exposed on the front surface of the connection object, and the plug contact can be electrically connected to the conductor via the inner contact (18, 28) when the conductor is exposed on the rear surface of the connection object.