The present invention discloses a Gate-driver-On-Array (GOA) circuit and the driving method thereof and a display device. The GOA circuit comprises a driving module, a low-resolution module and at least two high-resolution modules, the driving module being connected with the low-resolution module and the at least two high-resolution modules respectively; wherein, the driving module is used to output control signal to the low-resolution module and the high-resolution modules; the low-resolution module is used to output a low-resolution signal to at least two rows of pixels under the control of the control signal during low-resolution display; and each high-resolution module is used to output a high-resolution signal to corresponding one row of pixels under the control of the control signal during high-resolution display. The GOA circuit of the present invention may be used to drive multiple rows of pixels and implement the switching between low resolution display and high resolution display.