Nonlocal dispersion cancellation is one of the non-classical effects of quantum entangled photon sources, and it has important applications in quantum information science. A detailed introduction to the concept, research significance of nonlocal dispersion cancellation, and the research progress in China and abroad in recent years were reviewed. The following three cases: the nonlocal dispersion cancellation of frequency entangled photon sources, the nonlocal dispersion cancellation in Franson interferometers, and the local dispersion cancellation in the Hong-Ou-Mandel interferometer were then compared and analyzed. On this basis, the prospects for the study of quantum dispersion cancellation were anticipated.