A hydraulic clamping device for the demountable frictionally engaged connection of a first component to a second component, wherein - the first component has a main bore defining a central axis, wherein the first component has a contact surface which extends in a plane perpendicular to the central axis and around the mouth of the main bore, and wherein the main bore, starting from the mouth, has a cylindrical first abutting region and, behind that, a rearward internal thread, - the second component abuts with a rear radial surface against the contact surface, has a cylindrical second abutting region, which has the same diameter as the first abutting region and is aligned therewith, and has a forward radial surface, and the clamping device additionally has - a conical bolt, which has, one behind the other in this order: a) a rearward external thread corresponding to the rearward internal thread, b) a cone region, c) an intermediate region, and d) at least one outer threaded portion (50, 52), - a cone sleeve having an inner cone surface adapted to the cone region, an outer cylinder surface and an outer radial surface, - a nut, which has an internal thread corresponding to the outer threaded region (50, 52), which has a nut surface cooperating with the forward radial surface, and which has a number of axial pin bores in which one pressure pin is in each case disposed, which pressure pins abut with an inner end region against the outer radial surface, - with a hydraulic clamping tool, which has a first clamping means generating an axial clamping force between the outer threaded region (50, 52) and the forward radial surface, and which has a second clamping means that generates an axial compressive force on the pressure pins and is supported on the outer threaded region (50, 52). - the first component has a main bore defining a central axis, wherein the first component has a contact surface which extends in a plane perpendicular to the central axis and around the mouth of the main bore, and wherein the main bore, starting from the mouth, has a cylindrical first abutting region and, behind that, a rearward internal thread, - the second component abuts with a rear radial surface against the contact surface, has a cylindrical second abutting region, which has the same diameter as the first abutting region and is aligned therewith, and has a forward radial surface, - a conical bolt, which has, one behind the other in this order: a) a rearward external thread corresponding to the rearward internal thread, b) a cone region, c) an intermediate region, and d) at least one outer threaded portion (50, 52), - a cone sleeve having an inner cone surface adapted to the cone region, an outer cylinder surface and an outer radial surface, - a nut, which has an internal thread corresponding to the outer threaded region (50, 52), which has a nut surface cooperating with the forward radial surface, and which has a number of axial pin bores in which one pressure pin is in each case disposed, which pressure pins abut with an inner end region against the outer radial surface, - with a hydraulic clamping tool, which has a first clamping means generating an axial clamping force between the outer threaded region (50, 52) and the forward radial surface, and which has a second clamping means that generates an axial compressive force on the pressure pins and is supported on the outer threaded region (50, 52).