Exciton tunneling through ZnSe barrier layer of various thicknesses is invest igated in a novel Zn072Cd028Se/CdSe coupled quantum well/quantum dots (QW/QDs) structure using photoluminescence spectra and nearresonant pumpprobe mea surements. Fast exciton tunneling from quantum well to quantum dots is observed by transient differential transmission. The tunneling time is 18ps, 44ps, 39 ps for barrier thickness of 10nm, 15nm, 20nm, respectively.