The popliteal artery is located in the popliteal fossa. In addition to its other branches, it divides into two terminal branches, the anterior and posterior tibial arteries, which are subject to numerous morphological variations. The purpose of this review is to compile several authors' classifications of the patterns of terminal branching of the popliteal artery among adults and to describe the division among foetuses, as described in the current literature. Pathologies of the popliteal artery such as popliteal artery aneurysm and popliteal artery entrapment syndrome and methods for treating them, like open surgery and endovascular interventions are also discussed. Awareness of the morphological variations of the popliteal artery is important for radiologists and surgeons as it allows the risk of complications during surgery to be reduced.