The laparoscopic medical instrument holding device has a platform with a holder for securing the instrument. The holder has at least two clamping claws arranged on the platform and each of the clamping claws comprises a two-arm base. Each arm of the base has movably mounted thereon a claw and each arm of the claw has at least two guide rollers. The arm of the claw has a ferromagnetic material footing located above a magnet mounted on the platform. A holding force between the footing and the magnet is adjustable. In the holder there is a releasably mounted instrument sleeve for securing the laparoscopic instrument. The instrument sleeve has a pair of internally mounted clamping elements and an externally mounted securing nut coupled via a deflecting transmission to a motor unit attached to the platform.