Current oscillations have been found during anodic polarization of a stainless steel stationary electrode in concentrated H2SO4 solution or more dilute H2SO4 solution containing an appropriate amount of CrO3. The potential range of current oscillations and the frequency were dependent on the potential scan rate, solution composition and concentration, and temperature. The occurrence of current oscillations was rationalized in terms of a periodic sequence of dissolution and reformation of the M(OH)(3) film, which was formed by the reaction of divalent metal ions dissolved in the earlier stage of polarization of the stainless steel. The microstructure of the stainless steel exposed to current oscillations was observed by a scanning electron microscope.