A shift register unit, a gate drive circuit, a display device and a method of driving a gate drive circuit are provided. The shift register unit (10) includes a shift register circuit (200) and an output control circuit (100). The shift register circuit (200) is configured to output a valid output level at a first output terminal (OUT1) according to a first input signal received by a first input terminal (INPUT 1), and is configured to reset according to a first reset signal received by a first reset terminal (RST1). The output control circuit (100) includes a second input terminal (INPUT2) electrically connected to the first output terminal (OUT1) and is configured to output an invalid output level at the second output terminal (OUT2) according to a second input signal received by the second input terminal (INPUT2), thereby controlling a level of the first output terminal (OUT1) to the invalid output level, and is configured to reset according to a second reset signal received by the second reset terminal (RST2). The shift register unit (10) avoids the multi-output phenomenon and improves the display quality of the display panel.
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