We have demonstrated the engineering of a precise shift in the resonance frequency of high-Q (10(8))whispering-gallery modes in microspheres of germanium-doped silica with UV irradiation. With 600 mW of 351-nm radiation from an Ar-ion laser, 18-GHz permanent frequency shifts were obtained for modes of 1550-nm wavelength, enough to tune a resonance over a full free spectral range.