A sound abatement system and method providing for assembly of stacked acoustic suppression walls is disclosed. The system incorporates vertical support members (VSM) and/or vertical I-beams (VIB) driven into the ground that support an acoustic suppression panel (ACP) array by virtue of diagonal fastening cables (DFC). The DFC in one preferred embodiment utilizes a combination of threaded J-hooks, cable loops, and angle iron to fix the ACP to the VSM/VIB by frictional contact.