A low profile, reversible weapon telescope mount is provided. The mount has a longitudinal planar top support having a series of ridges and recesses disposed thereupon in an alternating and parallel orientation to that of a central axis of the support. Attached to opposed peripheral side edges of the support are four downwardly depending legs. The support and legs form a channel of the scope mount that surrounds a top end of a weapon receiver, such as a rifle, such that a bottom surface of the top planar support rests upon a top surface of the receiver. Each leg has a movable guide finger supported in a vertical channel formed in each leg. Each guide finger has an inwardly extending ledge member for grabbing outwardly extending flanges of the rifle receiver. The finger is guided up and down by an pin inserted through the leg and finger when a screw, acting upon the finger is tightened or loosened. The mount can be reversed so that its front end is closer to the head of the user of the weapon while still permitting a telescope to be mounted thereupon.