Primary, secondary, and tertiary alkoxyl radicals add exo-selectively to the olefinic π-bond in bicyclo2.2.1]heptene to afford exo-2-alkoxybicyclo2.2.1]hept-3-yl radicals, which are trapped with BrCCl3 preferentially from the endo face to furnish β-bromohydrine ethers in 23-67% yield.