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ZnO crystallizes in the wurtzite structure and the substrates chosen for the growth of ZnO films usually have the same wurtzite structure, e.g.GaN,AlN and sapphire, etc.Recently there is emerging research effort on the integration of wurtzite ZnO and cubic substrates, stimulated by the desirable integration of functional cubic perovskite oxides (as "passive" devices) and semiconductors (as "active" devices) for further device minimization.[3-6] Since MgO exhibits the simplest cubic structure, we choose to grow ZnO thin films on top of the MgO (001) substrates using molecular beam epitaxy (MBE) to examine the integration between hexagonal overlayers and cubic substrates.