An electroluminescent display for adaptive voltage control and method of driving electroluminescent display are disclosed. In one aspect, the method includes digitally driving a display panel including a plurality of pixels based on a first power supply voltage, a second power supply voltage lower than the first power supply voltage, a first data voltage and a second data voltage lower than the first data voltage. The method also includes sensing a global current provided to the display panel, generating a current detection signal based on the sensed global current, and varying at least one of the first and second data voltages based on the current detection signal.