Wearing a fake suicide vest and wielding knives, Usman Khan went on the rampage on Friday (November 29) afternoon at a conference on criminal rehabilitation beside London Bridge.
He was wrestled to the ground by bystanders and then shot by specialist armed police.
Two people - a man and a woman - were killed in the attack which has been described by police as a terrorist incident.
In addition, a man and two women were injured and remain in hospital.
Khan was convicted for terrorism offences in 2012 for his part in an al-Qaeda-inspired plot to blow up the London Stock Exchange.
He was released in December 2018 subject to conditions.
Officers stood guard outside Khan's house at Staffordshire, in England's west midlands area, while plain-clothed police were seen entering the home.