A device (1) for calibrating geometrical measurements of surgical tools (10) as well as for orienting the same in space, including: A) a docking station (2) having two jaws (3) and a surface (21); and B) at least three marking indicators (9) firmly attached to the docking station (2) and capable of being measured, in reference to their position in space, electromagnetically or acoustically through a position detecting device (14), where C) the jaws (3) each have a lateral wall (40) so that the surface (21) and the lateral walls (21) of the two jaws (3) enclose a U-shaped passage (18), where D) the two jaws are conformed in a cylindrical or double conical manner; and E) the two lateral walls (40) or the surface (21) present a form comprising at least two additional contact points for a surgical tool (10) inserted between the jaws (3) across its longitudinal axis (11).