A new Lewis acid-catalyzed endo-selective Prins bicyclization of γ,δ-unsaturated aldehydes or ketones with a broad range of aldehydes to dioxabicyclo[2.2.2]octanes is disclosed. When using a chiral BINOL-derived N-triflylphosphoramide (NTPA) as catalyst and glyoxylate esters as substrates, the cross-dimerization afford functionalized bicyclic acetals with excellent diastereo- and enantioselectivities.