Abstract: Apparatus for restoring the centering of tire rims, includes: a rod (2) which can be inserted into the centring hole (11) for engaging a rim (10) with the hub of a motor vehicle and provided with means (202, 212, 102, 112) for locking, coaxial with the rod, the fixing plate (13) of the rim (10) so as to position the rod along the direction of the axis of the rim (10); thruster elements (4, 4?) able to act in any direction perpendicular to the rod, movable in a direction parallel to the rod itself and provided with adjusting and support elements (3, 104) and members (164, 174) for fixing their position along the rod, the rod being mounted rotatably relative to its axis, provided with actuating means (101) and connected to elements (201, 301, 401) for detecting the balancing and geometrical deformation. A method is also disclosed.