The novel severe acute respiratory syndrome coronavirus 2 was identified in the late 2019 as the cause of coronavirus disease 2019 (COVID-19), an acute respiratory viral illness. Patients with chronic underlying conditions may have an increased risk of morbidity and mortality from COVID-19. Kidney transplant recipients may be at a uniquely increased risk of serious complications from COVID-19 as compared to the general population because of a chronically immunosuppressed state and a high prevalence of comorbidities like diabetes, heart disease, and lung disease. Early data suggest that the mortality of patients on dialysis may be comparable to those with kidney transplants, although more research is needed. This concise review aims to describe the epidemiology of COVID-19 in kidney transplant recipients, manifestations, appropriate management, and clinical outcomes based on the available literature. Current evidence on many of the specific antiviral measures against COVID-19 has not shown a clear-cut benefit in smaller studies and the results of several ongoing larger clinical trials are awaited. In addition, we also highlight the impact of COVID-19 on kidney transplant center practice and volumes; potential living or deceased donors, recipients; and induction immunosuppression and surgical strategies.