Tool for drilling bone tissue, which has the advantage of having a cutting tip with a flat effective shape that prevents perforation of the Schneider membrane or injury to the dental nerve when drilling close to them. The tool is disposed along an longitudinal axis (7) and comprises a non-cutting main body (1), a narrowed area (2) for retaining bone and a cutting tip (3), which comprises cutting blades (4), each one of which is provided with a front cutting edge (5) substantially perpendicular to the longitudinal axis (7) and a substantially lateral cutting edge (6) that forms an angle of between 0 and 10° with the longitudinal axis (7). Spaces (9) for receiving bone are disposed between the cutting blades (4) and are connected to the narrowed area (2).