A piezoelectric component with at least one fully active piezoelement has electrode layers and interposed piezoelectric layers guided to a lateral edge of the piezoelement and contacted there. An insulating layer applied for electric contacting has an electric through-plating. An electrically conductive gas-phase deposition layer is applied directly to the electrode layer guided up to the lateral surface of the piezoelement by way of deposition from the gas phase in order to improve electric contacting. An external electrode is applied to the gas-phase deposition layer. In the case of several superposed stacked piezoelements (piezoactuator in multi-layer design), the external electrode functions as a collector electrode which connects the electrode layers to each other. The structure enables secure contacting of the electrode layers. A fully active piezoceramic multi-layer actuator with the described contacting may be used in automobile technology for activating fuel-injection valves.