An OLED display includes a data line, a gate line crossing the data line receiving a scan pulse, a high potential (HP) driving voltage (DV) source, a low potential (LP) DV source, a light emitting element (LEE) emitting light from current flowing between the HP DV source and the LP DV source, a drive element (DE) connected between the HP DV source and the LEE controlling a current flowing in the LEE from voltage between a gate electrode (GE) and a source electrode (SE) of the DE, and a driving current stabilization circuit applying a voltage to the GE of the DE turning on the DE and sinking a reference current through the DE, setting a source voltage of the DE at a sensing voltage and modifying voltage between the GE and SE of the DE to scale a current to be applied to the LEE from the reference current.