Abstract: A process for catalytically directly producing hydrogen peroxide (H2O2) product from hydrogen and oxygen-containing feeds by contacting them with a supported noble metal phase-controlled catalyst and a suitable organic liquid solvent having a Solvent Selection Parameter (SSP) between 0.14×10−4 and 5.0×10−4 at reaction condition of 0-100° C. temperature and 100-3,000 psig pressure. Unconverted feed gas and organic liquid solvent solution are usually recovered and recycled back to the reactor along with any recovered catalyst. If desired, the hydrogen peroxide product can be fed together with an organic chemical feedstock such as propylene and with the organic liquid solvent solution into a second catalytic reaction step which oxidizes the feedstock to produce a desired crude oxidized organic product such as propylene oxide, which may be purified by distillation steps and recovered from the solvent solution.