Torque screwdriver arrangement with a screwdriver housing, a drive train arranged in the screwdriver housing, which has a drive housing, a motor, in particular an electric motor, arranged in the drive housing, and an output shaft, which projects out of the drive housing at its axially front end face and whose axially front end comprises a bit holder for fixing a screw bit or can be connected in a rotationally fixed manner to such a bit holder, and a torque measuring device, wherein a support arrangement is provided at precisely one support point, via which the reaction torque exerted on the drive housing during operation of the torque screwdriver arrangement is supported on the screwdriver housing, and the drive housing is otherwise provided or mounted rotatably in the screwdriver housing, and wherein the torque measuring device, which is provided in particular on the support arrangement, is designed and/or set up to detect the output torque of the output shaft in the form of the supported reaction torque at the support arrangement, characterized in that the drive housing is connected to the screwdriver housing at the support point via the support arrangement, in that the support arrangement has drive housing connecting means which are designed and/or set up to connect the support arrangement releasably to the drive housing, and comprises screwdriver housing connecting means which are designed and/or set up to connect the support arrangement to the screwdriver housing or to an intermediate element provided between the screwdriver housing and the support arrangement, in that the support arrangement is designed as a torsionally elastic support arrangement and comprises a sleeve on which the screwdriver housing connecting means are formed, and an outer ring which has the drive housing connecting means and radially surrounds the sleeve, the sleeve and the outer ring preferably being torsionally elastically connected to one another via radial connecting webs, and in that the sleeve is connected to the outer ring at one axial end region, in particular its axially rear end region, via the connecting webs and is provided at the opposite axial end region, in particular its axially front end region, with an internal or external threaded section as screwdriver housing connecting means, via which the torsionally elastic support arrangement is in threaded engagement with an inner or outer threaded portion, designed to correspond thereto, of the screwdriver housing or of an intermediate element provided between the torsionally elastic support arrangement and the screwdriver housing, the corresponding inner or outer threaded portion being provided in particular at the axially rear end of the intermediate portion. in that the support arrangement has drive housing connecting means which are designed and/or set up to connect the support arrangement releasably to the drive housing, and comprises screwdriver housing connecting means which are designed and/or set up to connect the support arrangement to the screwdriver housing or to an intermediate element provided between the screwdriver housing and the support arrangement, in that the support arrangement is designed as a torsionally elastic support arrangement and comprises a sleeve on which the screwdriver housing connecting means are formed, and an outer ring which has the drive housing connecting means and radially surrounds the sleeve, the sleeve and the outer ring preferably being torsionally elastically connected to one another via radial connecting webs, and in that the sleeve is connected to the outer ring at one axial end region, in particular its axially rear end region, via the connecting webs and is provided at the opposite axial end region, in particular its axially front end region, with an internal or external threaded section as screwdriver housing connecting means, via which the torsionally elastic support arrangement is in threaded engagement with an inner or outer threaded portion, designed to correspond thereto, of the screwdriver housing or of an intermediate element provided between the torsionally elastic support arrangement and the screwdriver housing, the corresponding inner or outer threaded portion being provided in particular at the axially rear end of the intermediate portion.