An extreme ultraviolet light generation apparatus may include a target supply unit configured to output a target; an actuator configured to change a trajectory of the target; an illumination device configured to illuminate the target; a first trajectory sensor configured to detect the trajectory in a first direction; a second trajectory sensor configured to detect the trajectory in a second direction; and a processor configured, when the trajectory of the target is detected by the first trajectory sensor but is not detected by the second trajectory sensor, to perform a first search and determine whether or not to repeat the first search based on a signal intensity of the first trajectory sensor, the first search including changing the trajectory of the target into a third direction by controlling the actuator, and then determining whether or not the second trajectory sensor is capable of detecting the trajectory of the target.