"With all honesty I do maintain my innocence," he said, dressed in navy scrubs and gesticulating with his raw, red stumps. His face was pale behind a grey and white beard.
Forrest said she had thought long and hard about the severity of the sentence but concluded the world would not be safe with him a free man.
She called his crimes barbaric and "obviously unacceptable in a civilised society".
It took the jury 12 hours to convict him of facilitating the 1998 abduction of 16 Western tourists in Yemen, providing material support to al-Qaeda, assisting the Taliban and sending terror recruits to Afghanistan.
Abu Hamza, whose full name is Mustafa Kamel Mustafa, provided the kidnappers with a satellite phone, acted as an intermediary and gave them advice. Four of the kidnapped tourists were killed.
He was also convicted of trying to set up a terror training camp in Oregon in 1999 and of promoting violent, global jihad.
Forrest sentenced him to two life sentences on two counts related to the Yemen kidnapping and a combined total of 100 years on the nine other counts, all to be served concurrently.
The Egyptian-born father-of-nine and engineer by training was jailed in Britain in 2006 for inciting murder and racial hatred.
He was extradited to the United States in October 2012.
- AAP