Apparatus for restoring the centering of tire rims, comprising: 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 meApparatus for restoring the centering of tire rims, comprising: 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 said rod, the fixing plate (13) of the said rim (10) so as to position said rod (2) along the direction of the axis of said rim (10); thruster means (202, 212, 102, 112) for locking, coaxial with the said rod, the fixing plate (13) of the said rim (10) so as to position said rod (2) along the direction of the axis of said rim (10); thruster means (4, 4') able to act in any direction perpendicular to the said rod (2), movable in a direction parallel to the rod (2) itself and provided with adjusting and support means (3, 104) and means (164,ans (4, 4') able to act in any direction perpendicular to the said rod (2), movable in a direction parallel to the rod (2) itself and provided with adjusting and support means (3, 104) and means (164,174) for fixing their position along the said rod (2), said rod (2) being mounted- rotatably relative to its axis, provided with actuating means (101) -and connected to means (201, 301,401) for detec 174) for fixing their position along the said rod (2), said rod (2) being mounted- rotatably relative to its axis, provided with actuating means (101) -and connected to means (201, 301,401) for detecting the balancing and geometrical deformation; as well as a method for use thereof.ting the balancing and geometrical deformation; as well as a method for use thereof.