A medical fastening device for noninvasively fastening a medical marking device comprising two or more marking elements to a body part of a patient is provided. The fastening device has a support body which extends over a surface in two directions of extent aligned at an angle to each other and is adaptable in its shape to the contour of the body part, to which the marking device is fixed or fixable. The support body is elastically stretchable in the surface of its extent and comprises a first stretch area and at least one second stretch area, the stretchability of which in at least one direction in the surface of the extent of the support body is less than that of the first stretch area. A medical referencing device and a medical instrumentation comprising such a fastening device are also provided.