Flexible olefinic trans-1,2-bis(4-pyridyl)ethene linkers were postsynthetically introduced into the metal-organic frameworks (MOFs) containing parallel rigid 4,4'-bipyridine linkers with a spacing of less than 4.2 angstrom by the linker exchange strategy, and then, the MOF satisfied Schmidt criteria could be obtained. Eventually, MOF products connected by cyclobutane derivatives were formed by the photochemical [2 + 2] cycloaddition reaction under UV irradiation.