Nanoviruses, single-stranded DNA (ssDNA) plant viruses with a multipartite genome, share similarities with members of the Circoviridae family that infect mammals or birds as well as with the Geminiviridae, the only other plant virus family with circular ssDNA genomes. Although the virions of the latter are unique and different from that of the circoviruses, the mode of replication of viruses with monopartite or multipartite circular ssDNA genomes is strikingly similar. They multiply by rolling circle replication using virus-encoded multifunctional replication initiator proteins (Rep proteins) that catalyse initiation of ssDNA replication and resolution of replicative ssDNA into circular single-stranded virion DNA. All these ssDNA viruses exploit host polymerases for DNA synthesis and code for proteins that modulate the host's cell cycle favourably for virus multiplication. Recent three-dimensional structure analyses of a geminivirus and a parvovirus Rep protein have revealed an intriguing similarity between the catalytic domains of their respective Rep proteins. Furthermore, these structural data revealed that ssDNA virus replication initiator proteins might represent evolutionary intermediates between certain RNA-binding proteins and some multifunctional origin-binding proteins of papovaviruses.