A compensation circuit, a gate driving unit, a gate driving method, driving method thereof, and a display device are provided. The compensation circuit includes: a pull-up control node control sub-circuit configured to control a touch ending signal input end to input a touch ending signal to a pull-up control node under the control of a pull-up input end; a pull-up control storage capacitor sub-circuit, a first end of which is connected to the pull-up input end, and a second end of which is connected to the pull-up control node; and a compensation sub-circuit configured to enable the pull-up control node to be electrically connected to the pull-up node voltage output end under the control of the pull-up control node.