In a display device and a driving and controlling method therefor, in order to restrain the occurrence of an unsatisfactory display state or unsatisfactory luminescence in the case where an anode potential is made to transition from a supply state to a cut-off state in response to the generation of a display completing signal, when a display signal DS is generated at time t0, an anode potential Va is raised at time t1, and at time t2 until which a predetermined time Td2 passes after the anode potential Va decreases below a threshold potential Vth with a cut-off voltage applied between cathodes and an anode, the application of the cut-off voltage is completed.