Abstract: An attachment system for load-bearing equipment includes two sets of parallel webbing strips disposed at an angle to each other. The straps are attached to equipment base fabric such that they form vertical channels between the webbing and the fabric which are at an angle relative to both sets of straps and diagonal channels between the webbing and the fabric which are parallel to one of the sets of straps. An accessory can be mounted in any of at least three different orientations by running accessory straps parallel to one of the sets of webbing strips or running the straps within the vertical channels.