Various implementations include a surgical screwdriver that comprises a first rotating shaft configured to be rotated about a respective longitudinal axis, a second rotating shaft extending along a respective development axis transverse to the longitudinal axis of the first shaft and having a shaped end tip which can be inserted into the head of a screw, and a transmission member interposed between respective first ends of the shafts to transfer the rotation from the first shaft to the second shaft. The transmission member comprises a homokinetic spherical joint.