A drive circuit and its drive method, and a panel and its drive method are provided. The drive circuit includes a step-up unit, a plurality of signal input terminals and a signal output terminal. The step-up unit includes a first module, a second module and a first capacitor. The first module is configured to transmit a signal of a third signal input terminal to a first electrode of the first capacitor. The second module is configured to transmit a signal of a fourth signal input terminal to a second electrode of the first capacitor at a first time period which generates a voltage difference between two electrodes of the first capacitor, and to transmit the signal of the fourth signal input terminal to the second electrode of the first capacitor at a second time period which further increases a signal of the first electrode of the first capacitor.