Abstract: The invention relates to a clamping device set for aligning and clamping two pipe ends, with clamping plates (1) which are arranged axially distanced, with clamping wedges (2) which extend in axial direction and which on a first side (21, 23) are mounted movable in radial direction on the clamping plates, and on a second side (22) have a contact surface for acting on the pipe ends (91, 92), with a guide for guiding the clamping wedges (2) on the clamping plates (1) and with an actuation means (3) for moving the clamping wedges (2), wherein the guide (4) is provided with an elastic holding means for holding the clamping wedges (2) on the clamping plates (1). The invention extends further to a clamping device set with several sets of exchangeable clamping wedges (2) which have differing distances from the inner to the outer side (21, 22).