Home Secretary Theresa May has said the murder of soldier Lee Rigby "united the entire nation in condemnation".
Michael Adebolajo, 29, and Michael Adebowale, 22, were found guilty of the murder of Fusilier Lee Rigby near Woolwich Barracks in May.
"The sickening and barbaric murder of Drummer Lee Rigby united the entire nation in condemnation and I welcome the jury's decision," May said.
"But we must not forget that this appalling and public act of violence and terror also robbed his family and loved ones of a brave, young man with his life ahead of him. My thoughts are with them at this difficult time."
In her only television interview since the verdict, she told ITV News that she begs forgiveness from Lee Rigby's family.
A mother and daughter who witnessed the attack on Lee Rigby have told ITV News how they are still haunted by what they saw that day.
Lee Rigby's sister told ITV News that she wishes she had not talked her brother out of returning to Afghanistan shortly before his death.