A portable hydrogen-rich water generator for generating hydrogen gases by electrolyzing water and producing hydrogen-rich water, comprising: a drinking cup, storing purified water which is drinkable; an electrolytic cell, disposed at the bottom of the drinking cup; a reservoir base on which the drinking cup is able to be mounted; a water supply pipe through which electrolytic water is supplied to the reservoir base which communicates with a water tank and a float valve while being maintained at a constant water level; a power supply from which direct current power is applied to the electrolytic cell a cell cover, wherein purified water in the drinking cup is not leaked by installing the cell cover beneath the drinking cup; and a cup lid, wherein the electrolytic cell includes a solid polymer electrolyte membrane which is arranged between the reservoir base and the drinking cup when the drinking cup is mounted on the reservoir base, a cathode which is disposed over the solid polymer electrolyte membrane, an anode which is submerged into water of the reservoir base, and disposed under the solid polymer electrolyte membrane, and gaskets which is disposed on opposite surfaces of edges of the solid polymer electrolyte membrane, wherein oxygen gases are generated at the anode and dissolved in the water in the reservoir base or dissipated into an upper space in the form of gases to be emitted to the outside so that the water in the reservoir base may be prevented from being contaminated, wherein dissolved hydrogen ions generated in the anode reaction are moved to the cathode through the solid polymer electrolyte membrane, and receive electrons from the cathode, thereby generating hydrogen gases, and wherein the hydrogen gases are generated at the bottom of the drinking cup in the form of bubbles. a drinking cup, storing purified water which is drinkable; an electrolytic cell, disposed at the bottom of the drinking cup; a reservoir base on which the drinking cup is able to be mounted; a water supply pipe through which electrolytic water is supplied to the reservoir base which communicates with a water tank and a float valve while being maintained at a constant water level; a power supply from which direct current power is applied to the electrolytic cell a cell cover, wherein purified water in the drinking cup is not leaked by installing the cell cover beneath the drinking cup; and a cup lid, wherein the electrolytic cell includes a solid polymer electrolyte membrane which is arranged between the reservoir base and the drinking cup when the drinking cup is mounted on the reservoir base, a cathode which is disposed over the solid polymer electrolyte membrane, an anode which is submerged into water of the reservoir base, and disposed under the solid polymer electrolyte membrane, and gaskets which is disposed on opposite surfaces of edges of the solid polymer electrolyte membrane, wherein oxygen gases are generated at the anode and dissolved in the water in the reservoir base or dissipated into an upper space in the form of gases to be emitted to the outside so that the water in the reservoir base may be prevented from being contaminated, wherein dissolved hydrogen ions generated in the anode reaction are moved to the cathode through the solid polymer electrolyte membrane, and receive electrons from the cathode, thereby generating hydrogen gases, and wherein the hydrogen gases are generated at the bottom of the drinking cup in the form of bubbles.