Abstract: A fastening bracket system for connecting two abutting members at a fixed angle includes a locking bracket having a flange and attached to one member and a channel bracket having a channel and attached to the other member. The channel or the flange, or both, is tapered. The flange is inserted into the channel until it becomes locked. Multiple locking brackets and channel brackets may be used in series to form longer joints. A method of assembling a joint from two abutting members at a fixed angle includes the steps of attaching at least one locking bracket having a flange to one of the members and at least one channel bracket having a channel to the other member, either the flange or the channel being tapered; positioning the members in the desired angle; and inserting the flange into the channel until it is locked, thereby locking the brackets together and securing the two members in position.