A connector comprising: a plug contact in a cylindrical shape having conductivity and having a recess extending along a fitting axis; and an inner contact having conductivity and having an insertion portion in a cylindrical shape which is elastically deformable, which is inserted into the recess, and through which the fitting axis passes, wherein the insertion portion includes: a contact portion that is placed on an outer peripheral surface of the insertion portion and that comes into contact with the plug contact in the recess; and a pressing portion placed on the outer peripheral surface of the insertion portion and on an opposite side to the contact portion across the fitting axis, and part of a sheet-like connection target having a flexible conductor (15B, 15D, 15F) exposed on at least one surface is sandwiched between the pressing portion and an inner surface of the recess in a direction orthogonal to the fitting axis, the inner surface of the recess comes into contact with a front surface of the connection target, and the pressing portion comes into contact with a back surface of the connection target, whereby the plug contact is directly electrically connected to the flexible conductor in a case where the flexible conductor is exposed on the front surface of the connection target, and the plug contact is electrically connected to the flexible conductor via the inner contact in a case where the flexible conductor is exposed on the back surface of the connection target, the insertion portion includes the contact portion and the pressing portion that are formed in the same position in a direction along the fitting axis, charactrized in that: by part of the connection target being sandwiched between the pressing portion and the inner surface of the recess, the insertion portion is elastically deformed such that a spacing between the contact portion and the pressing portion is narrowed, and the contact portion elastically comes into contact with the inner surface of the recess, while the pressing portion elastically presses the part of the connection target toward the inner surface of the recess. a plug contact in a cylindrical shape having conductivity and having a recess extending along a fitting axis; and an inner contact having conductivity and having an insertion portion in a cylindrical shape which is elastically deformable, which is inserted into the recess, and through which the fitting axis passes, wherein the insertion portion includes: a contact portion that is placed on an outer peripheral surface of the insertion portion and that comes into contact with the plug contact in the recess; and a pressing portion placed on the outer peripheral surface of the insertion portion and on an opposite side to the contact portion across the fitting axis, and part of a sheet-like connection target having a flexible conductor (15B, 15D, 15F) exposed on at least one surface is sandwiched between the pressing portion and an inner surface of the recess in a direction orthogonal to the fitting axis, the inner surface of the recess comes into contact with a front surface of the connection target, and the pressing portion comes into contact with a back surface of the connection target, whereby the plug contact is directly electrically connected to the flexible conductor in a case where the flexible conductor is exposed on the front surface of the connection target, and the plug contact is electrically connected to the flexible conductor via the inner contact in a case where the flexible conductor is exposed on the back surface of the connection target, the insertion portion includes the contact portion and the pressing portion that are formed in the same position in a direction along the fitting axis, charactrized in that: by part of the connection target being sandwiched between the pressing portion and the inner surface of the recess, the insertion portion is elastically deformed such that a spacing between the contact portion and the pressing portion is narrowed, and the contact portion elastically comes into contact with the inner surface of the recess, while the pressing portion elastically presses the part of the connection target toward the inner surface of the recess.