Low-dimensional carbon nanofillers ( LDCN) have out standing mechanical properties. It has been reported that adding LDCN into polymers can improve mechanical properties or enhance function of the composites and LDCN can also induce kinds of polymers crystallization. Not only are the crystallization temperatures and cry stallization rates of polymers elevated by the presence of LDCN acting as nucleating agents
but unique crystalline morphology may also be induced to form. There are great significance of theoretical research and practical application to investigate the effect of LDCN on crystallization of polymers. It is expected that kinds of properties of LDCN/polymer composites are improved by regulating crystallinity and crystalline morphology of the polymers.The research progress in LDCN inducing polymer crystallization was summarized in crystallization kinetics and crystalline morphologies. Moreover