19 May 2014 Last updated at 16:10 ET
He was accused of conspiring to aid organisations such as al-Qaeda.
Prosecutors said Abu Hamza – born Mustafa Kamel Mustafa – aided kidnappers of tourists in Yemen in 1998 and attempted to build a terror training camp in Oregon in the US.
The 56-year-old, who was extradited from the UK in 2012 after an eight-year legal battle, denied all the charges.
The Islamist preacher came to prominence in the UK for his fiery sermons outside Finsbury Park mosque; in one he praised the 11 September hijackers.
He was extradited after having been jailed for seven years in the UK for inciting murder and race hate.
In New York the jury of eight men and four women reached a unanimous guilty verdict on all 11 terror charges.
Manhattan US Attorney Preet Bharara said: “The defendant stands convicted, not for what he said, but for what he did.
“Abu Hamza was not just a preacher of faith, but a trainer of terrorists.
“Once again our civilian system of justice has proven itself up to the task of trying an accused terrorist and arriving at a fair and just and swift result.”
Prosecutors argued that in 1998, Abu Hamza arranged satellite communications for a group of kidnappers in Yemen who carried out a deadly attack in which four hostages were killed, and that in 1999-2000 he and others conspired to establish an al-Qaeda training camp in Bly, Oregon, among other acts.
He was convicted of various crimes including hostage taking, conspiring to provide material support to terrorists, and abetting religious war in Afghanistan.
During the trial the court heard details of the radical cleric’s life.
Before gaining notoriety as an Islamist, he had worked at a Soho strip club in London after coming to England from Egypt in 1979.
He revealed how he lost an eye and both his hands – not, as he had previously claimed, from fighting the Soviets in Afghanistan – but during an accident in Pakistan when liquid explosives intended for use in a road construction project went off by mistake.
His defence claimed he had assisted MI5 “to keep the streets of London safe”.
He is due to be sentenced on 9 September where he faces a possible life imprisonment.