Abstract: Process for chemical polishing of austenitic stainless steel surfaces using chemical polishing baths effective at a slow rate of reaction. The baths include in an aqueous solution a mixture of hydrochloric acid, nitric acid and phosphoric acid, an optionally substituted hydroxybenzoic acid, at least one quaternary ammonium salt and an additive chosen from perchloric acid and water-soluble salts of perchloric acid.