The baby boy was born five months ago in Mexico to Jordanian parents, and is healthy and doing well, said the report in New Scientist magazine.
The boy's mother carried genes for a disorder known as Leigh Syndrome, a fatal nervous system disorder which she had passed on to her two previous children who both died of the disease.
She had also suffered four miscarriages.
The woman, whose identity was withheld by New Scientist, and her husband sought the help of John Zhang, a doctor from the New Hope Fertility Centre in New York City to have a baby that would be genetically related to them but would not carry the inherited disease.
The United States has not approved any three-parent method for fertility purposes, so Dr Zhang went to Mexico where he was quoted by New Scientist as saying "there are no rules".
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