A medical punch with a hollow shaft, a tool point that is positioned on the distal end of the shaft and includes a rigid cutting part and a cutting part that can slide with respect to the rigid cutting part, and with a handle positioned on the proximal end of the shaft, such that the displaceable cutting part and the handle are operatively connected with one another by a push/pull device that is displaceably mounted in the hollow shaft and an anti-tilt mechanism is positioned on the tool point to stabilize the cutting parts in their axially parallel alignment to one another. The rigid cutting part includes a sleeve-shaped proximal portion that encloses the displaceable cutting part and a distal punch portion configured as a single unit with the sleeve-shaped portion and that the rigid cutting part should be detachably connected with the hollow shaft by a coupling mechanism formed on the sleeve-shaped portion.