A drive compensation circuit, an organic light-emitting diode (OLED) display panel and a driving method thereof. The drive compensation circuit includes a first power supply terminal, a second power supply terminal, a drive circuit, a voltage detection circuit and an OLED. The voltage detection circuit is configured to obtain a voltage value of the anode of the OLED, the first power supply terminal is configured to enable a first output voltage of the first power supply terminal to be larger than a second output voltage of the second power supply terminal, and the second power supply terminal is configured to allow the second output voltage of the second power supply terminal to be adjusted according to the voltage value of the anode of the OLED.