Abstract: A device for receiving a tool or support element in a machine tool or spindle has a tool carrier receiving member arranged in a machine tool or spindle and a tool carrier having a tool receiving member for a tool as well as a clamping device for securing the tool carrier in the tool carrier receiving member. The tool carrier has two areas, wherein a first area includes the tool receiving member and wherein a second area is designed to be received in the tool carrier receiving member. The second area includes the clamping device. The two areas are merged with one another in the axial direction of the device by overlapping the areas.