Lung transplantation is an established therapy for select patients with end-stage pulmonary disease, offering prolonged survival and significant improvement in recipient's quality of life. The postoperative care of lung transplant recipients is quite complex and deals with the prevention and management of a wide spectrum of immediate post-operative complications. Since these complications occur frequently and are associated with poor outcomes including increased short and long-term morbidity and mortality, it is extremely important to recognize and manage them early. It is worth noting that the post-operative critical care of lung transplant recipients is multidisciplinary in nature and presents with evolving clinical scenarios that require frequent changes in treatment plans. In addition to the medical and surgical teams, allied health providers like respiratory, physical and nutritional therapists play a pivotal role in the management of patients. Close collaboration and communication between the different teams will eventually translate into a better outcomes and survival. In this review, the first part will highlight the important aspects of the immediate care of the lung transplant recipients following surgery including monitoring, ventilator and hemodynamic management, pain control, immunosuppression and the prevention of infection in addition to other nuances. The second part of the review will discuss the diagnosis and management of acute medical [primary graft dysfunction (PGD), acute allograft rejection] and surgical complications such as those related to the airways, vascular anastomosis or pleural space.