A threaded trigger travel adjustment insert to be located in the existing grip screw hole of a lower receiver commonly associated with a rifle or a pistol to connect the hand grip to the receiver. The trigger travel adjustment insert has a trigger contact tip at one end thereof for receipt within the fire control cavity of the lower receiver at which to contact the trigger tang of the weapon. Rotating the threaded trigger travel adjustment insert through the grip screw hole causes the trigger contact tip of the insert to elevate the trigger tang resulting in a corresponding reduction in the overlap between the trigger sear and the hammer sear notch prior to the trigger being pulled. Accordingly, the distance traveled by the trigger through the fire control cavity after the trigger is pulled and released is advantageously shortened to improve trigger predictability and reliably, thereby facilitating improved accuracy.