In this review we will describe the replication of kinetoplast DNA, a subject that our lab has studied for many years. Our knowledge of kinetoplast DNA replication has depended mostly upon the investigation of the biochemical properties and intramitochondrial localisation of replication proteins and enzymes as well as a study of the structure and dynamics of kinetoplast DNA replication intermediates. We will first review the properties of the characterised kinetoplast DNA replication proteins and then describe our current model for kinetoplast DNA replication.