An integrated method packages and dispenses three-dimensional disposable elastomeric gloves that are easy to put on, comfortable to wear and do not interfere with manual and/or digital movements. The three-dimensional gloves are integrated with a dispensing system that employs both bags and re-usable dispenser boxes, as well as visible glove labelling. The glove bags are accessed through slits that can be an overlapping edge or a cut slit, or of a perforated or peel-back type, and the latter can also be re-sealable for storage purposes. Once filled with randomly-stacked three-dimensional gloves, the bags are placed in dispenser boxes made of a rigid plastic or metal, with the bag slits being aligned with access apertures of the dispenser boxes.