But Foreign Minister Tobias Ellwood warned the death toll was likely to rise.
He said it was "the most significant terrorist attack on the British people" since the London 7/7  bombing in 2005.
A Tunisian student linked to Islamic State (IS) carried out the gun attack in Sousse which killed 38.
Fifteen Britons have died following the attack on a Tunisian beach resort, the Foreign Office has confirmed.