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 , - 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 , 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 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 . - 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 , - 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 , 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 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 . <EOS>