A portable synthetic grass turf assembly—that is capable of being assembled, transported, disassembled, and stored—includes a plurality of synthetic grass module units that can be laid side by side atop a base surface to provide a continuous synthetic grass surface for various activities. Each module unit includes a synthetic grass turf with an infill layer of particulate materials disposed among the synthetic grass ribbons and atop a base sheet. A barrier of synthetic ribbons extends about the perimeter of the module unit to retain the particulate material within the module unit during its transportation and storage.