This review addresses psychosocial challenges before and after solid organ transplantation. Stressors, corresponding psychosocial changes of the recipient, and psychological interventions in the different phases of the transplant process are described. Furthermore, important aspects of the preoperative psychosocial evaluation are presented with a special focus on living donors and patients with alcoholic liver disease. For the postoperative period, adherence, quality of life, and return to work are highlighted. Finally, research and clinical implications are presented.