A display drive circuit, a drive method thereof, and a display device are disclosed. The display drive circuit includes: a pixel circuit and a compensation circuit, the pixel circuit includes: a drive transistor, a light emitting device, a storage capacitor, and includes: a gating sub-circuit configured to control connection and disconnection between the control electrode of the drive transistor and a control terminal of the compensation circuit and connection and disconnection between a second electrode of the light emitting device and a sensing terminal of the compensation circuit in response to a signal of a scanning line; the compensation circuit includes: a voltage generating sub-circuit configured to generate a sensing voltage according to the drive current and a target data voltage, and a voltage adjusting sub-circuit configured to adjust a voltage of the control terminal according to the sensing voltage and a voltage of a second power supply terminal.