A matrix-type organic electro-luminescent display (OELD) having triode organic EL device is provided. The first electrode that may be an anode or cathode is formed on the substrate. After a patterned electrically insulating layer is formed on the substrate and the first electrode, the second electrode for controlling the potential of the anode or the cathode is formed on the insulating layer so that the first electrode and the second electrode are formed at a different plane. And then an organic EL layer and third electrode (cathode or anode) are sequentially formed on the substrate. The organic EL layer is electrically connected to the first and the third electrodes in the emission part of the OELD, while the organic EL layer is electrically connected to the second electrodes in the non-emission part of the OELD for controlling potential between the anode and an organic EL layer or the cathode and the organic EL layer. Accordingly it is possible to realize matrix-type display having triode organic EL device showing high brightness with low power consumption.