The kinetic behavior of the oxidation of carbon monoxide on Pt(111) was studied at different temperatures by exposing both oxygen-covered surfaces to molecular CO beams and clean surfaces to CO + O-2 mixed beams under ultra-high vacuum (UHV) conditions. Results from the first type of experiments show that on oxygen-covered surfaces the rate for CO2 production above 400 K is determined by the impinging rate of the carbon monoxide molecules. On clean surfaces the oxidation rate is equally determined by the CO incoming flux as long as the CO : O-2 ratio in the CO + O-2 mixed beams is low. For high CO : O-2 ratios, however, the CO steady-state coverage increases, poisoning the adsorption of oxygen, and slowing down the overall CO2 production. The rate of surface recombination of CO with oxygen also competes with that of CO adsorption at low temperatures, giving rise to a fairly complex overall dynamic behavior.