A composite fabric sheet loading and unloading machine and its method of operation is described for loading and unloading a composite fabric sheet into a computer controlled stitching and laser cutting machine. The composite fabric sheet is restrained on a rectangular contour support frame of a transport platform which is displaceably and guidingly transported into the stitching and laser cutting machine where programmed pattern fabric pieces are formed in the restrained fabric sheet. The transport platform is then unloaded and transferred back to its original position where the pattern pieces and trimmings are separated and a new composite sheet is positioned and restrained on the flat top surface to repeat the operation. A transport platform is provided on opposed sides of the computer controlled stitching and die cutting machine wherein after the unloading of the transport platform another transport platform is loaded into the stitching and laser cutting machine from the opposed side.