Vascular complications have emerged as a major clinical challenge during transcatheter aortic valve replacement (TAVR). Recent reports demonstrate that major vascular complications not only predict major bleeding, transfusions, and renal failure, but are also associated with increased mortality. During the early development of TAVR, heterogeneous definitions of vascular complications were used in the literature. However, the Valve Academic Research Consortium has made significant progress in standardizing outcomes definitions in the study of this emerging technology. This has resulted in a rapidly expanding body of high-quality clinical research exploring important outcomes of TAVR, including vascular complications. This review seeks to summarize the literature and to explore the current state of knowledge with respect to the incidence, predictors, clinical impact, and management of vascular complications associated with TAVR.