A cardiac assistance, device has a supporting component, which surrounds the heart and on the inside of which a plurality of adjacent inflatable and deflatable chambers are provided, via which an inside wall can be displaced inward. The chambers have a fluidic connection to at least one pump via lines. A plurality of supply valves on the supply side are arranged between the pump and the chambers. Some individual chambers or groups of chambers are assigned dedicated supply valves, in order to drive the chambers individually or in groups.