Many lives are saved and key functions are restored through the transplantation of human cells, tissues, or organs when no other options are available. Transplantation has become a successful worldwide practice in the last 50 years. However, there are significant discrepancies between nations in terms of availability to acceptable transplantation and the level of safety, quality, and efficacy of human cell, tissue, and organ donation and transplantation. The ethical implications of transplantation are front and center. The unmet demands of patients and the scarcity of transplants, in particular, lead to the temptation of trafficking in human body parts for transplantation. Transplanting human cells and tissues can save lives or restore vital functionality. Organ transplantation is a medical technique that involves removing an organ from one body and transplanting it into the body of another to replace a damaged or missing organ. Organs may be moved from a donor site to another area, or the donor and recipient may be at the same location. Autografts are organs and/or tissues that are transplanted within the same person's body. Allografts are transplants conducted lately between two individuals of the same species. Allografts can come from either a living or a deceased donor. One of the most difficult and intricate fields of modern medicine is transplantation medicine. The difficulties of transplant rejection, in which the body has an immunological response to the transplanted organ, which can lead to transplant failure and the necessity to remove the organ from the recipient right away, are some of the major areas for medical management.