A vehicle door handle for mounting on a motor vehicle, the vehicle door handle comprising a handle and a handle support, the handle being mounted in the handle support, wherein the handle is embodied as an elongated body having a first end portion (a) and a second end portion (c) of the handle, a gripping portion (b) disposed between the end portions in the central portion of the handle, the first end portion (a) and the second end portion (c) having respective bearing portions, wherein the gripping portion is that portion which is available for grasping or rear-grasping, the end portions being non-rear-graspable, wherein the bearing portions of the first end portion (a) and of the second end portion (c) project into the handle support and are supported there, wherein an antenna is arranged in an inner cavity of the handle, characterised in that the antenna is designed as a UWB antenna for UWB signal transmission in a UWB frequency range, and a control circuit for a transmitting and receiving operation is coupled to the antenna for enabling a distance determination between the UWB antenna and a portable ID transceiver prepared for UWB communication by transmitting a UWB signal from the UWB antenna to the portable ID transceiver, responding to the signal by a UWB transceiver of the portable ID transponder, and evaluating the detected response signal with a control means coupled to the UWB antenna of the handle by evaluating the time elapsed between transmission and reception, wherein the antenna is completely accommodated in an end portion (a, c) of the handle outside the gripping portion (b) and wherein the antenna is formed as a conducting path on a circuit board. wherein the handle is embodied as an elongated body having a first end portion (a) and a second end portion (c) of the handle, a gripping portion (b) disposed between the end portions in the central portion of the handle, the first end portion (a) and the second end portion (c) having respective bearing portions, wherein the gripping portion is that portion which is available for grasping or rear-grasping, the end portions being non-rear-graspable, wherein the bearing portions of the first end portion (a) and of the second end portion (c) project into the handle support and are supported there, wherein an antenna is arranged in an inner cavity of the handle, characterised in that the antenna is designed as a UWB antenna for UWB signal transmission in a UWB frequency range, and a control circuit for a transmitting and receiving operation is coupled to the antenna for enabling a distance determination between the UWB antenna and a portable ID transceiver prepared for UWB communication by transmitting a UWB signal from the UWB antenna to the portable ID transceiver, responding to the signal by a UWB transceiver of the portable ID transponder, and evaluating the detected response signal with a control means coupled to the UWB antenna of the handle by evaluating the time elapsed between transmission and reception, wherein the antenna is completely accommodated in an end portion (a, c) of the handle outside the gripping portion (b) and wherein the antenna is formed as a conducting path on a circuit board.