A tool clamping device, in particular an oscillating tool clamping device, includes a clamping unit that has at least one clamping element configured to securely clamp a working tool in an axial direction and at least one clamping head arranged on the clamping element and configured to clamp the working tool at a free end of the clamping unit. The clamping unit further includes a guiding unit configured to guide at least one movement of the working tool along at least one direction of movement that deviates significantly from the axial direction in at least one operating state.