The idea behind the research is to allow would-be parents with genetic diseases to have children without passing along the illness.
By using the DNA of a third, healthy person the baby would be less likely to have the same condition.
Doctors will take an egg from a mother and transfer it to a donor egg of another embryo that is healthy and without defect. The egg would then be put back into the mother and fertilized by the father.
At that point, three sets of DNA have been involved in the birth of the child.
Britain’s chief medical officer said "scientists have developed groundbreaking new procedures which could stop these diseases being passed on. It's only right that we look to introduce this life-saving treatment as soon as we can."
The procedure still has to have the approval of Parliament.
There is similar research happening in the United States but the embryos are not being used to produce children.