Surgical instruments are provided for performing laparoscopic or similar minimally invasive operations, including two clamping parts, which can move towards one another and which have clamping surfaces for gripping tissue when they are closed. A cutting device has a cutting edge that, in a cutting direction, can be displaced relative to the clamping parts for cutting the gripped tissue. In such an instrument the cutting direction extends at an acute angle to the clamping surfaces when they are closed.
