The results are presented of a high-frequency electron nuclear double resonance ͑ENDOR͒ study of the lowest triplet state of the self-trapped exciton in AgCl. Direct information about the spatial distribution of the wave function is obtained, which confirms that the exciton in its triplet state is built up from a strongly localized self-trapped hole and a very diffuse electron. The electron is mainly contained in a hydrogenlike 1s orbital with a Bohr radius of 15.1Ϯ0.6 Å, but near its center the electron density deviates from spherical symmetry and reflects the D 4h charge distribution of the hole. From a comparison with the results of an ENDOR study of the self-trapped hole, it is concluded that the microscopic and electronic structure of a self-trapped hole is not significantly altered by the attraction of a shallow electron. No evidence is obtained for the formation of Frenkel pairs in AgCl upon ultraviolet irradiation at low temperatures.