This work reports the results of the studies on oxidation of carbon monoxide and H2 over Pt supported on barium stannate (BaSnO3—perovskite type oxide). The composition and properties of Pt/BaSnO3 catalysts were characterized by X-ray diffraction (XRD), time-of-flight secondary ion mass spectrometry (TOF–SIMS), H2 and CO chemisorption, scanning electron microscopy with energy dispersive X-ray spectroscopy (SEM–EDS) and tested in the reactions of carbon monoxide and hydrogen oxidation. It was stated that platinum strongly interacts with BaSnO3. The catalytic activity and adsorption properties of Pt/BaSnO3 catalysts are determined by these interactions. The presence of different species (which generally can be labelled as [(Pt)BaSnO3]) resulting from platinum and BaSnO3 chemical interaction was found by the TOF–SIMS on surface of Pt/BaSnO3 catalysts. The mechanism of CO and H2 oxidation over Pt/BaSnO3 catalysts was discussed in the light of strong interactions between Pt and BaSnO3.