A connector comprising: a plug contact (13, 23, 33, 43) having conductivity and including an axially extending portion (13A, 23A, 33B, 33C, 43A) that forms at least part of an inner surface of a recessed portion (13C, 23C, 33F, R) extending along a fitting axis, and an orthogonally extending portion (13B, 23B, 33D, 33E, 43B) joined to the axially extending portion and extending from a base end of the recessed portion in a direction orthogonal to the fitting axis; and an inner contact having conductivity that is elastically deformable and is supported in a state of being partially inserted in the recessed portion, wherein the inner contact includes: a first contacting portion that makes contact with the inner surface of the recessed portion formed by the axially extending portion and is electrically connected to the plug contact; a second contacting portion that makes contact with the inner surface of the recessed portion on an opposite side from the first contacting portion across the fitting axis at a position closer to the base end of the recessed portion than the first contacting portion; and a third contacting portion extending in a direction orthogonal to the fitting axis and facing the orthogonally extending portion, wherein part of a connection object of sheet shape having a conductor (15B, 15D) exposed on at least one surface of the connection object is sandwiched between a bottom surface of the orthogonally extending portion of the plug contact and the third contacting portion of the inner contact in a direction along the fitting axis, the bottom surface of the orthogonally extending portion makes contact with a top surface of the connection object, and the third contacting portion makes contact with a bottom surface of the connection object, whereby the plug contact (13, 23, 33, 43) is electrically connected to the conductor directly when the conductor is exposed on the top surface of the connection object, and the plug contact (13, 23, 33, 43) is electrically connected to the conductor via the inner contact when the conductor is exposed on the bottom surface of the connection object. a plug contact (13, 23, 33, 43) having conductivity and including an axially extending portion (13A, 23A, 33B, 33C, 43A) that forms at least part of an inner surface of a recessed portion (13C, 23C, 33F, R) extending along a fitting axis, and an orthogonally extending portion (13B, 23B, 33D, 33E, 43B) joined to the axially extending portion and extending from a base end of the recessed portion in a direction orthogonal to the fitting axis; and an inner contact having conductivity that is elastically deformable and is supported in a state of being partially inserted in the recessed portion, wherein the inner contact includes: a first contacting portion that makes contact with the inner surface of the recessed portion formed by the axially extending portion and is electrically connected to the plug contact; a second contacting portion that makes contact with the inner surface of the recessed portion on an opposite side from the first contacting portion across the fitting axis at a position closer to the base end of the recessed portion than the first contacting portion; and a third contacting portion extending in a direction orthogonal to the fitting axis and facing the orthogonally extending portion, wherein part of a connection object of sheet shape having a conductor (15B, 15D) exposed on at least one surface of the connection object is sandwiched between a bottom surface of the orthogonally extending portion of the plug contact and the third contacting portion of the inner contact in a direction along the fitting axis, the bottom surface of the orthogonally extending portion makes contact with a top surface of the connection object, and the third contacting portion makes contact with a bottom surface of the connection object, whereby the plug contact (13, 23, 33, 43) is electrically connected to the conductor directly when the conductor is exposed on the top surface of the connection object, and the plug contact (13, 23, 33, 43) is electrically connected to the conductor via the inner contact when the conductor is exposed on the bottom surface of the connection object.