A gate drive circuit, a display device and a driving method are provided. The gate drive circuit includes a scan signal generation circuit and output control circuits in N stages. The scan signal generation circuit includes first output terminals in 2N stages, and is configured to output scan pulse signals in an order at the first output terminals in 2N stages; each of the output control circuits in N stages includes an input terminal, a first control terminal, a second control terminal, a second output terminal, and a bootstrap circuit, and is configured to control the bootstrap circuit, under control of a first control signal received by the first control terminal, an input signal received by the input terminal, and a second control signal received by the second control terminal, to output an output pulse signal with different pulse levels at the second output terminal.