A medical instrument grip device consisting of an open tubular element of elastic material for an elongated medical instrument comprises an elongated element having a gripping area and a head element being attached to one of the ends of the elongated element. The tubular element is open in both longitudinal ends and is configured to switch between a rolled up state and a fully unrolled state. Further, the tubular element is configured such that the head element may be forced through the inner opening of the stretched tubular element being in its rolled up state and to create a tight fit around the gripping area when being in its unrolled state.