A method for donning a therapeutic garment system on a mammalian body, whereby the garments are adapted for donning and releasably securing in a close-fitting fashion so that a plurality of elasticized pieces may be releasably applied, utilizing fasteners, against an outwardly facing surface of at least one—and more often two—of the garments in an operative therapeutic configuration. At least one elasticized garment is included for donning around an area of a torso such as the upper-torso, lower-torso, or full-torso area a second elasticized garment is included for donning and releasably securing in a close-fitting fashion around a portion of the body, generally other than that around which the first garment will be (or has been) donned. In addition to an outwardly facing surface adapted for accepting releasable fasteners, each garment has an under-layer with an inwardly facing surface to resist slippage. A wide variety of operative therapeutic configurations are available to one donning garment system components, including those that address generally targeted objectives.