A bioelectrode for non-invasive and inotophoretic delivery of chemical species (such as ions, polar molecules, etc.) into the skin of a person. The bioelectrode includes a pouch having flexible walls, at least a portion of which is composed of a microporous, permeable or semipermeable membrane. The pouch holds fluid which contains the chemical species to be delivered through the skin. An electrode is attached to the pouch so that when the pouch is placed against the skin, with the membrane portion in contact with the skin, and an electric potential is applied to the electrode, chemical species in the pouch are caused to migrate through the membrane and into the skin.