The present invention relates to an apparatus for producing hydrogen water, and more particularly, to a portable apparatus for producing hydrogen water including: a container held at an upper side to store water; a hydrogen generating unit positioned at a lower part of the container, and for dissolving hydrogen generated by electrolyzing water stored in the container in the water stored in the container, and converting the water in the container to hydrogen water; and a power supply unit for applying power to the hydrogen generating unit. The portable apparatus for producing hydrogen water of the present invention may enable a user to conveniently drink hydrogen water regardless of the time and the place.