The replication of DNA is a fundamental step in the cell cycle, which must be coordinated with cell division to ensure that the daughter cells inherit the same genomic material as the parental cell. The recently published complete genome sequences of some archaeal species together with preliminary biochemical studies suggest that the Archaea quite likely duplicate their chromosome by using replication machinery that seems to be a simplified version of the eukaryotic machinery, although their metabolic facets and their cellular morphology are prokaryotic-like. This review is focused on recent progress on the structural and functional analysis of proteins and enzymes involved in the initiation and elongation steps of DNA replication in Archaea. Differences between the genome replication apparatus of the Euryarchaea and the Crenarchaea (the two main phylogenetic divisions of the Archaea domain) are highlighted.