A connector (11, 21), comprising: a housing (12, 22) made from an insulating resin; and high-speed signal transmitting contacts (15, 25) arranged at and held by the housing (12, 22), wherein each of all the high-speed signal transmitting contacts (15, 25) has at its one end a contacting portion (15A, 25A) to be brought in contact with a contact of a counter connector, at its another end a board connecting portion (15F, 25F) to be connected to a board, and a bending portion (15D, 25D) being located between the contacting portion (15A, 25A) and the board connecting portion (15F, 25F), wherein a straight section (L1, L2) extending from the contacting portion (15A, 25A) to the bending portion (15D, 25D) in a fitting direction with the counter connector is formed, the straight section (L1, L2) having a press-fitted portion (15B, 25B) being adjacent to the contacting portion (15A, 25A) and being press-fitted into and fixed to the housing (12, 22), an exposed portion (15C, 25C) being adjacent to the press-fitted portion (15B, 25B), being exposed outside the housing (12, 22) and extending in the fitting direction, and a press-fitting shoulder portion (15G, 25G) being located between the exposed portion (15C, 25C) and the bending portion (15D, 25D), wherein the board connecting portion (15F, 25F) extends from the bending portion (15D, 25D) in a direction intersecting the fitting direction, wherein the contacting portion (15A, 25A) has a width smaller than a width of the press-fitted portion (15B, 25B), wherein the exposed portion (15C, 25C) has a width equal to or smaller than the width of the press-fitted portion (15B, 25B), wherein the bending portion (15D, 25D) has a width smaller than a width of the press-fitting shoulder portion (15G, 25G), and wherein the housing (12, 22) includes a resin wall (12F, 22F) extending throughout an entire length of the exposed portion (15C, 25C) in the fitting direction and facing a side surface (S1, S2) of the exposed portion (15C, 25C) via an air layer (Al, A2), and an overhanging portion (12G, 22G) being connected to the resin wall (12F, 22F) and overhanging the exposed portion (15C, 25C) only partially throughout the entire length of the exposed portion (15C, 25C) at an opposite side from a side facing in a direction in which the board connecting portion (15F, 25F) extends. a housing (12, 22) made from an insulating resin; and high-speed signal transmitting contacts (15, 25) arranged at and held by the housing (12, 22), wherein each of all the high-speed signal transmitting contacts (15, 25) has at its one end a contacting portion (15A, 25A) to be brought in contact with a contact of a counter connector, at its another end a board connecting portion (15F, 25F) to be connected to a board, and a bending portion (15D, 25D) being located between the contacting portion (15A, 25A) and the board connecting portion (15F, 25F), wherein a straight section (L1, L2) extending from the contacting portion (15A, 25A) to the bending portion (15D, 25D) in a fitting direction with the counter connector is formed, the straight section (L1, L2) having a press-fitted portion (15B, 25B) being adjacent to the contacting portion (15A, 25A) and being press-fitted into and fixed to the housing (12, 22), an exposed portion (15C, 25C) being adjacent to the press-fitted portion (15B, 25B), being exposed outside the housing (12, 22) and extending in the fitting direction, and a press-fitting shoulder portion (15G, 25G) being located between the exposed portion (15C, 25C) and the bending portion (15D, 25D), wherein the board connecting portion (15F, 25F) extends from the bending portion (15D, 25D) in a direction intersecting the fitting direction, wherein the contacting portion (15A, 25A) has a width smaller than a width of the press-fitted portion (15B, 25B), wherein the exposed portion (15C, 25C) has a width equal to or smaller than the width of the press-fitted portion (15B, 25B), wherein the bending portion (15D, 25D) has a width smaller than a width of the press-fitting shoulder portion (15G, 25G), and wherein the housing (12, 22) includes a resin wall (12F, 22F) extending throughout an entire length of the exposed portion (15C, 25C) in the fitting direction and facing a side surface (S1, S2) of the exposed portion (15C, 25C) via an air layer (Al, A2), and an overhanging portion (12G, 22G) being connected to the resin wall (12F, 22F) and overhanging the exposed portion (15C, 25C) only partially throughout the entire length of the exposed portion (15C, 25C) at an opposite side from a side facing in a direction in which the board connecting portion (15F, 25F) extends.