A strap attachment apparatus is arranged to releasably secure pocket and pouch members, holsters, selected holders and other types of removable articles securely yet removably in quick-release manner onto supporting articles including packs and backpacks, luggage, bags, jackets, vests and other garments and types of support articles by releasably interwoven strap components which require no other metal, plastic or molded mechanical fasteners such as snaps, buttons, hooks, VELCRO connectors or other locking arrangement which may snag, catch or otherwise interfere with or hinder installation of and quick-release removal of the attached article.