The invention relates to a tool for milling bone tissue advantageous in that it has a cutting tip having a flat effective shape that prevents perforation of the Schneider membrane or injury of the dental nerve when milling is carried out close thereto. The tool is arranged along a longitudinal axis (7) and comprises a non cutting main body (1) a shaped area (2) for holding the bone and a cutting tip (3) said area comprising cutting knives (4) each of which is provided with a front cutting edge (5) substantially perpendicular to the longitudinal axis (7) and a lateral cutting edge (6) substantially forming an angle of between 0 and 10� with the longitudinal axis (7). Spaces for receiving the bone are created between the cutting knives (4) said spaces communicating with the shaped area (2).