A system and method for generation of hydrogen-rich ice (HRI) by introducing water that has been mixed with H2 and CO2 into the vertical tubes of a tube-ice machine is disclosed. The temperature and pressure within the vertical tubes can be maintained by refrigerant surrounding the vertical tubes to form carbon dioxide clathrate hydrates which entrap hydrogen molecules. The carbon dioxide clathrate hydrates cages with entrapped H2 are encased, transported and then delivered after HRI discharge Later, when the HRI tube-ice is formed and released from tube-ice machine, it warms whereupon the carbon dioxide clathrate hydrates dissociate and the H2 is released and used, for example by placement of the tube-ice small cylinders in a glass of water.