Balancing machine for balancing vehicle wheels

The balancing machine (1) for balancing vehicle wheels comprises: a base frame (2); - - a balancing shaft (3) on which a vehicle wheel (R) to be balanced can be fixed; - a rotoidal resting unit (6, 7), fitted on the base frame (2) and supporting the balancing shaft (3) in a revolving way around its own axis; - motor means (13) for placing in rotation the balancing shaft (3) around its own axis; wherein the balancing shaft (3) comprises at least a measuring section (16) which is magnetized and subject to a stress condition due to the unbalance of the wheel (R) revolving on the balancing shaft (3), in proximity of the measuring section (16) being arranged magnetic field sensor means (17,18) which are suitable for detecting by magnetostrictive effect the stress condition of the measuring section (16) and are operatively associated with at least one processing and control unit (19) suitable for determining the unbalance of the wheel (R) starting from the stress condition of the measuring section (16).