How parental histone H3-H4 tetramers, the primary carrier of epigenetic modifications, are transferred to leading and lagging strands of DNA replication forks following DNA replication is an important question that remains not well understood. Here we show that DNA polymerase clamp PCNA and its partner involved in lagging strand DNA synthesis, Pol d, regulate parental histone transfer to lagging strands. Mutations at PCNA as well as at subunits of Pol d that impair the PCNA-Pol d interaction affect parental histone transfer to lagging strands, and this defect unlikely arises from their impacts on DNA synthesis. Moreover, Pol d interacts with H3-H4 in vitro. We suggest that the PCNA-Pol d complex, best known for its role in lagging strand DNA synthesis and DNA repair, couples lagging strand DNA synthesis to the transfer of the parental histones H3-H4 for the inheritance of chromatin structures following DNA replication and possibly DNA repair. Overall design: ChIP-Seq and eSPAN for H3K4me3 and H3K56ac and BrdU-Seq in WT and mutant yeast cells