Aphids are a group of insects feeding on the plants. The systematic researches on aphids are very important to pest managements, biological theory studies and so on. However, the primary matter is correct understanding the species. Thus, the study of phylogeny on this group is one of the premises to above these studies. Here we reviewed the history of aphid taxonomy and of systematic relationships above genera, and compared with some representative results about aphid phylogeny. The common ground of these aphid systems is to separate the oviparous taxa, Adelgiens and Phylloxeriens, from the other viviparous taxa as the most original groups. And their divergences focus on the following aspects: the systematic status of some aphid groups, such as Lachniens, Chaitophoriens and Hormaphidiens; and the relationships among some taxa, such as the relationship between Lachniens and Anoeciiens, and the relationships among Drepanosi-phiens, Mindariens and Thelaxiens. Some results of molecular systematic recently are introduced in here. Although these studies didn't solve the problems completely either, molecular methods are very useful to aphid phylogenetic researches.