Embodiments of the present disclosure disclose a drive circuit, a driving method thereof and a display device. The drive circuit includes: a current control circuit, configured to provide a drive signal to a device to be driven according to a signal of a data signal terminal; a first transistor, electrically connected between the current control circuit and the device to be driven; and a duration control circuit, electrically connected with a gate of the first transistor, and configured to provide a light-emitting duration modulating signal to the gate of the first transistor according to a combined action of signals of a scanning signal terminal, a light-emitting control signal terminal, a duration control signal terminal and a reference voltage signal terminal, to control a conduction duration of the first transistor.