A novel reaction of the double-bond migration (DBM) of 1-butene on Bronsted acid sites (BAS) of zeolites in the absence of proton transfer from BAS to the adsorbed olefin was found. The widely accepted protonated intermediate should result in the conversion of the acidic OD groups to OH upon the DBM. Nevertheless, the OD groups forming a 1:1 complex with the adsorbed 1-butene were unchanged even after the reaction. The isotope exchange of OD groups occurred at a higher temperature than that of the DBM. Thus, the existence of a new type of reaction on BAS is demonstrated, which takes place more easily than the proton transfer.