Aspects of the evolutionary and historical processes that shaped present-day human diversity can be inferred from patterns of genetic variation within and between populations. The main questions currently being addressed include the evolutionary relationships among contemporary humans and the different human forms documented in the fossil record, the extent and causes of the genetic differences among modern populations, and the implications of such differences for applied research in fields such as medical genetics, pharmacogenetics, and forensic science. In this chapter, we outline the main current models of human evolution and review the available ancient and modern DNA evidence in the light of these models. We suggest that, despite ongoing controversy, most data are easier to reconcile with a model in which the ancestors of modern populations dispersed recently (<200 000 years ago) from Africa and essentially or completely replaced previously settled human forms. However, it has become increasingly evident that models assuming the expansion of a small African group are oversimplified, and more complex scenarios need be envisaged, including genetic substructuring in the expanding population. How much substructure is needed to explain existing data is unclear, and whether this apparent substructure could be partly due to admixture between modern and archaic humans is debated. The available studies among modern populations show that the differences tend to be patterned in geographical space, but that variation tends to be continuous and strong genetic boundaries rarely occur, suggesting a major role of isolation by distance in shaping human diversity. As a consequence, global human diversity is not well described by a small set of well-defined races. The extent to which racial classifications might be useful in some applications remains to be demonstrated. Throughout the chapter, we emphasise the large amount of uncertainty surrounding the interpretation of genetic data, when they are used either to make inferences on our origins or to predict disease risk.