The family of Kim Buckley, Kayleigh and 6-month-old Kimberley said they felt 'justice was served' as Carl Mills was jailed for 30 years.
A statement, issued on behalf of the family by Gwent police, added:
"Carl Mills starts a life sentence for three murders but for us, the family and friends of Kim, Kayleigh and Kimberley, our life sentence started on 18 September last year when three beautiful innocent people were torn from our lives."
More top news
Theresa May has launched her bid to become the next leader of the Conservative Party.
The government is set to announce that David Cameron's successor will make the decision on whether to expand Heathrow or Gatwick.