It has been shown experimentally that Pd50Cu50 nanoalloy achieves the maximum activity for CO oxidation (COox) and oxygen reduction reaction (ORR) on composition-tuned PdCu bimetallic catalysts, but the origin of this catalytic synergy remains unclear. In this work, results of our density functional theory (DFT) calculations show that the weakest adsorption strength of O2 in terms of the most pronounced charge transfer between Pd and Cu is responsible for the experimentally observed highest catalytic activity of Pd50Cu50 catalyst for both COox and ORR over a series of composition-tuned PdCu nanoalloys. For COox, the lowest barrier energy is attributed to the weakest adsorption strength of O2 on Pd50Cu50 catalyst. In ORR, the lowest barrier energy for O2 dissociation and also the weakest adsorption strength of O, OH, and OOH species are related to the weakest adsorption strength of O2 over the catalyst with a 50:50 ratio of Pd/Cu. Our work represents the first attempt to address an in-depth correlation bet...