The large force applied by laparoscopic grasper during clamping operation can cause tissue damage and induce various complications. In this research, the security of graspers with different radii of curvature and teeth were evaluated by using experimental investigation, finite element simulation and tissue damage assessment method based on in vivo compression tests with rabbit large intestines models. Results showed that the most serious tissue damages appeared in areas that were in contact with the jaw edges, which were the regions of stress concentration. The increase in radii of curvature of the edges or teeth could alleviate the tissue damages. The results could provide basic data for choosing and designing noninvasive graspers.