Oxidations of sulfides and phosphorus(V) esters of thiols by H2O2 are catalyzed by H2SO4 and HClO4. Sulfides are 4-ZC6H4SMe, 1a-1e, respectively, Z = MeO, Me, H, Cl, NO2; PhSCH2CH2Cl, 2, Ph2S, 3, and the esters are Ph(R)PO·SEt, 4a, 4b, R = Ph, EtO. Electron donation by Z moderately accelerates reaction, but the sulfides are much more reactive than the esters. Reactions are first order in H2O2 and substrate, and second-order rate constants, k2, in H2SO4 are related to excess acidity, X. Plots of log k2 against X have slopes in the range 0.61-0.85. Rate constants are similar for given concentrations of H2SO4 and HClO4, except that with greater than 50 wt.% H2SO4 peroxymonosulfuric acid is formed and the observed rate constants then increase. Methanesulfonic acid is a less effective catalyst than the mineral acids. Oxidations of the sulfides are also catalyzed by strongly acidic ion-exchange resins.Key words: sulfide oxidation, hydrogen peroxide, acid catalysis, excess acidity.