The advanced form of IVF will be used to prevent children dying from genetic diseases.
The team at the Newcastle Fertility Centre said it was "good news" and a "momentous day" for patients.
And realistically expect the first child to be born in 2018 at the earliest, the BBC reported.
Three-person babies have been allowed only in cases where the risk of a child developing mitochondrial disease is very high.
The procedure aims to overcome mitochondrial diseases which leave people with insufficient energy to keep their heart beating.
Some families have lost multiple children to the disease.
The disease is passed down from only the mother - so a technique using a donor egg as well as the mother's egg and father's sperm has been developed.
The resulting child has a tiny amount of their DNA from the donor, but the procedure is legal and reviews say it is ethical and scientifically ready.
The UK Fertility Regulator, the Human Fertilisation and Embryology Authority, must approve every clinic and every patient before the procedure can take place, the report said.
The team in Newcastle anticipates helping 25 couples every year.
Prof Sir Doug Turnbull, the director of the Wellcome Centre for mitochondrial research at Newcastle University, said: "I am delighted for patients as this will allow women with mitochondria DNA mutations the opportunity for more reproductive choice.
"Mitochondria diseases can be devastating for families affected and this is a momentous day for patients who have tirelessly campaigned for this decision."
Mitochondrial disease is caused by defective mitochondria- the tiny structures in nearly every cell that convert food into useable energy.
One in 4,300 children are born with such severe symptoms they develop muscle weakness, blindness, deafness, seizures, learning disabilities, diabetes, heart and liver failure. It is often fatal.
The aim of the procedure is to get the healthy mitochondria from the donor.
But mitochondria have their own DNA, which is why resulting children have DNA from three people.
However, everything that defines physical and personality traits still comes from parents, the report added.
However, the UK will not be the first country in the world to have children born through the three-person technique.
A Jordanian couple and doctors in New York performed the procedure in Mexico and the resulting baby is understood to be healthy.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)