Strains of Aureobasidium pullulans (de bary) Arnaud can be used for the commercial production of gluconic acid by fermentation in aqueous liquid containing sugar, which in continuous culture from glucose form greater than or equal to 90% and greater than or equal to 90% molar selectivity. The process is conducted with an Fe and Mn optimized medium with a nitrogen-independent (N-independent) ion concentration. The iron (Fe) concentration with 3 g/l NH.sub.4 Cl is greater than or equal to 0.5 mM, and the manganese (Mn) concentration with 3 g/l NH.sub.4 Cl is greater than or equal to about 0.5 mM manganese (Mn). The pH is regulated between about 4.5 and about 8, in particular at 6.5-7, and the temperature between 24 and 32.degree. C., in particular at 29-30.degree. C. Particularly successful strains are Aureobasidium pullulans (de bary) Arnaud with the registration numbers DSM 7085, DSM 7086, DSM 7087, and DSM 7088.