Their most recent study involved five donor rabbits and five recipients, which were operated on at the Royal Veterinary College in London.
Five rabbits received a womb using a "vascular patch technique" which connected major blood vessels, including the aorta.
Of the five, two rabbits lived to 10 months and examinations after death showed the transplants were a success.
Smith's next step is to get rabbits pregnant through IVF to see how the womb copes, before moving on to larger animals.
Previous animal attempts have failed and the only human-to-human transplant ended with the womb having to be removed
