For compensating unbalance of vehicle wheels, adhesive weight elements (8) are positioned and pressed onto a determined compensation surface (17) on a wheel (7) using a balancing head (1) and a program-controlled handling device (9). The adhesive weight elements (8) in the form of an endless weight strand (5) are fed by a feed device (2) arranged on the balancing head (1) to a following roll-on roller (3) that presses the beginning of the endless weight strand (5) onto the beginning of the compensation surface (17) and thereafter rolls along thereon. A length cut-off device (4) is provided in or before the roll-on roller (3) and cuts-off the endless weight strand (5) of the adhesive weight elements (8) in a determined length.