A method for producing an arrangement of coil elements for a plug-in coil of an electric machine, comprising the following steps: - providing a workpiece carrier and - producing at least one single-layer arrangement of rod-shaped coil elements for a plug-in coil of an electric machine on the workpiece carrier, wherein the following is provided in each case for the rod-shaped coil elements: - accommodating and holding the coil element by means of a displacement device; - delivery of the coil element onto the workpiece carrier by means of the displacement device into an assigned proximal position on the workpiece carrier, wherein the coil elements are displaced with respect to the workpiece carrier from a distal position into the assigned proximal position, and the displacement device with the coil element held thereon is displaced in a direction radial to a workpiece carrier axis in order to displace the coil element into the proximal position on the workpiece carrier; and - taking the coil element in the proximal position on the workpiece carrier from the displacement device by a gripping device which is formed on the workpiece carrier, wherein a relative movement is carried out between the coil element and the gripping device in a direction radial to the workpiece carrier axis; wherein - the gripping device is displaced radially outwardly between a retracted and an extended position, in which the taking of the coil element is carried out, in order to take the coil element from the displacement device; and - during the taking of the coil element by the gripping device by means of a movement radially outwardly into an extended position, gripping elements (6, 7) of the gripping device grip and hold the coil element, and wherein the at least one single-layer arrangement of the coil elements is held by means of the gripping device on the workpiece carrier after the taking of the coil elements. - providing a workpiece carrier and - producing at least one single-layer arrangement of rod-shaped coil elements for a plug-in coil of an electric machine on the workpiece carrier, wherein the following is provided in each case for the rod-shaped coil elements: - accommodating and holding the coil element by means of a displacement device; - delivery of the coil element onto the workpiece carrier by means of the displacement device into an assigned proximal position on the workpiece carrier, wherein the coil elements are displaced with respect to the workpiece carrier from a distal position into the assigned proximal position, and the displacement device with the coil element held thereon is displaced in a direction radial to a workpiece carrier axis in order to displace the coil element into the proximal position on the workpiece carrier; and - accommodating and holding the coil element by means of a displacement device; - delivery of the coil element onto the workpiece carrier by means of the displacement device into an assigned proximal position on the workpiece carrier, wherein the coil elements are displaced with respect to the workpiece carrier from a distal position into the assigned proximal position, and the displacement device with the coil element held thereon is displaced in a direction radial to a workpiece carrier axis in order to displace the coil element into the proximal position on the workpiece carrier; and - taking the coil element in the proximal position on the workpiece carrier from the displacement device by a gripping device which is formed on the workpiece carrier, wherein a relative movement is carried out between the coil element and the gripping device in a direction radial to the workpiece carrier axis; wherein - the gripping device is displaced radially outwardly between a retracted and an extended position, in which the taking of the coil element is carried out, in order to take the coil element from the displacement device; and - during the taking of the coil element by the gripping device by means of a movement radially outwardly into an extended position, gripping elements (6, 7) of the gripping device grip and hold the coil element, and wherein the at least one single-layer arrangement of the coil elements is held by means of the gripping device on the workpiece carrier after the taking of the coil elements.