Abstract: We report our recent theoretical studies on kinetic anisotropy－induced ordered－orientation transitions in epitaxial growth. As an example, we have calculated the epitaxial growth of CoPt alloy films on a Pt buffer layer. We show that the ordered structure of the CoPt film changes from the L10 ［001］ variant to the L10 ［100］ variant with the increase of growth rate at moderate growth temperatures. Based on this mechanism, we propose a simple method to synthesize ordered－orientation superlattices.