The invention discloses a shift register, a driving method thereof, and a gate driver on array (GOA), aiming to solve the problem that the output signal pulse width of a current shift register can not be adjusted flexibly. The shift register comprises an input module electrically connected to a trigger signal line, a first clock signal line and a first node, and used for controlling whether the trigger signal provided by the trigger signal line reaches the first node; a control module electrically connected to the first node, a second node, the first clock signal line, a second clock signal line and a conduction signal line, and used for controlling whether a conduction signal is outputted to the second node; and an output module electrically connected to the first node, the second node, a high level signal line, a low level signal line and a driving signal output line, and used for responding to signals of the first node and the second node, selecting the high level signal or the low level signal as a driving signal, and providing the driving signal to the driving signal output line. Accordingly, output signal pulse widths can be flexibly adjusted according to trigger signals.