The clamping device is provided for tools and has a coupling piece that is provided with at least one actuating unit. The coupling piece acts to actuate a nut seated on a spindle journal that is receiving the tool. A torque coupling is provided for the nut. The coupling piece is fixedly connected with an output shaft that is in drive connection with a drive shaft by a transmission gear. As a result of the transmission gear, it is possible to rotate the drive shaft with minimal moment in order to apply the great clamping force required for axial clamping of the tool.