During the development of eukaryote, faithful inheritance of chromatin states is central to the maintenance of cell fate. DNA replication poses a significant challenge for chromatin state inheritance because every nucleosome in the genome is disrupted as the replication fork passes. It has been found that many factors including DNA polymerases, histone chaperones, as well as, RNA Pol II and histone modifying enzymes coordinate spatially and temporally to maintain the epigenome during this progress. In this review, we provide a summary of the detailed mechanisms of replication-coupled nucleosome assembly and post-replication chromatin maturation, highlight the inheritance of chromatin states and epigenome during these processes, and discuss the future directions and challenges in this field.