In an actuation method for a piezoactuator in an injector, an injection is triggered by controlling the piezoactuator to open and close the injection valve. An injection charge and discharge pulse each cause a change in length of the piezoactuator, which excites an oscillation system. After an idle time interval without injection, the steps for triggering an injection are repeated. At times t1 and t2 during the idle time interval tL, a damping charge current pulse and a damping discharge current pulse are applied, wherein the change in length which is generated by the damping charge and discharge current pulses are too small to activate the injection valve and to trigger an injection. The times t1 and t2 are selected such that excitation of the oscillation system by the pulses takes place in anti-phase with respect to the oscillation which is excited by the injection charge and discharge current pulse.