Hassan and Hussein Benhaffaf are now on a surgical ward.
In a statement, the hospital said the twins are breathing unaided and are being bottle-fed.
It said their medical team continue to be pleased by their progress and recovery.
Their parents, Angie and Azzedine, said in a statement that the boys were reunited in the same cot together for the first time today.
The twins were born conjoined on 2 December 2009 at University College Hospital in London.



















