The research team hope that doctors will eventually be able to collect amniotic fluid, which surrounds the growing embryo in the womb, when a baby is born.
This will then be stored by scientists in case that person develops kidney disease later in life. The fluid can then be used to create a matching kidney.
Creating an organ using a patient's own stem cells solves the problem of having to use powerful immunosuppressant drugs to stop the body rejecting a another person's kidney.
Professor Davies said the technology could be ready for use on humans in around 10 years.
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