A system of connectors for use in temporary structures to connect the bracing members of open lattice towers and trusses to the legs of towers and chords of trusses and space frames. A connector is permanently fitted to each end of all bracing members. The connector is configured to engage a cylinder (or projection) that is integral to the leg (or chord as the case may be). After one end is engaged on a cylinder (projection) the member is rotated about the engaged end until the connector on the opposing end of the member engages a corresponding cylinder (projection) on the opposed leg or chord. Installation of the next member using the method as described permanently locks the previously installed member in place such that it can not be removed until the member that was installed after it is removed. The assembly sequence is therefore fixed and begins at the bottom of a tower leg or one end of a truss chord. Disassembly requires following a sequence that is exactly the reverse of the assembly sequence. This system of connectors allows rapid installation of bracing members without the use of tools, installation of fasteners, or engagement of additional securing components such as wedges or cams.