The recipient had Mayer-Rokitansky-Küster-Hauser syndrome, which affects about one in every 4500 women and results in the vagina and uterus (womb) failing to form properly.
The transplant womb was taken from a mother-of-three who had died from bleeding on the brain.
The uterus was removed from the donor and then transplanted into the recipient in surgery lasting more than 10 hours.
The 32-year-old psychologist mom, who was not identified, became pregnant through IVF seven months after the transplant and gave birth to a healthy baby via cesarean section. In this case, a cesarean section was performed for birth at 35 weeks gestation, and along with the delivery of an nearly 6 pound healthy baby girl, the uterus was also removed.
The first baby has been born using the transplanted womb from a dead woman, and British doctors say they are planning to replicate the procedure in the UK. "The donors are rare, typically being willing and eligible family members or close friends". However, a woman who received a live uterine transplant gave birth to a baby boy in 2017, making it a first for the U.S.
She said just one of the consequences of a such a procedure is the potential rupturing of the uterus, which could have had catastrophic effects for the mother and the child.
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Swedish doctor Mats Brannstrom pioneered uterus transplantation. During the transplantation, there was a period of blood loss that was ultimately managed but might be avoidable in the future, by changing how the organ is initially reconnected to the woman's circulatory system, according to the study.
As with other organ recipients, the patient in this case was put on immune suppression drugs to reduce the chances of her body rejecting the transplant. The mother and child managed to leave the hospital just three days after the birth, with a gloriously uneventful following few months.
Dr Dani Ejzenberg, from the Faculty of Medicine at Sao Paulo University, who led the team, said: "The use of deceased donors could greatly broaden access to this treatment, and our results provide proof-of-concept for a new option for women with uterine infertility".
The researchers said that they were able to implant the fertilised eggs into the transplant uterus much earlier than previous uterus transplants.
Five months before the transplant, the recipient had sixteen eggs from her own functional ovaries removed. Fifteen were fertilised, with 8 resulting in embryos that were subsequently preserved for later implantation.
Besides a minor kidney infection - treated with antibiotics - during the 32nd week, the pregnancy was normal.
O'Neill says the work on transplantation is important both as an option for infertile couples and to increase scientific understanding of the uterus and pregnancy.
The baby girl was seven months and 20 days old, weighing 7.5kg when the researchers wrote their report.