Recent advances in our understanding of the mechanism and regulation of eukaryotic DNA replication have been expedited by the use of cell‐free systems capable of initiation of DNA replication. The system capable of replicating plasmid DNAs containing the SV40 origin of DNA replication in vitro is a paradigm for studies on the replication of other virus DNAs and the replication of cellular chromosomes. This review outlines some of the contemporary issues and developments related to this complex problem.