A puncturing system includes a carrier tape carrying multiple lancets and having position marks, a housing comprising a conveying facility for positioning the lancets and a housing opening, a puncturing drive for accelerating a lancet positioned in a usage position, a storage medium for storing distance values that depend on distances between the lancets of the carrier tape and position marks allocated to the respective lancets, a sensor for detecting position marks in a detection position through which the position marks proceed upon motion of the carrier tape, and a control unit that controls the conveying facility. To position a lancet in the usage position, the control unit stops the conveying facility upon the carrier tape moving a positioning distance. The length of the positioning distance depends on the distance between the lancet to be positioned and the detected position mark and is determined by the control unit.