Police have been searching two addresses as part of the investigation into the attack in Streatham on Sunday.
The attacker, Sudesh Amman, 20, was shot dead by police on Streatham High Road after stabbing people in what police called an Islamist-related terrorist incident.
He had been released from prison about a week ago after serving half of a sentence for terror offences.
Three people were injured but none is in a life-threatening condition.
Scotland Yard said officers were searching residential addresses in south London and Bishop's Stortford, Hertfordshire.
"No arrests have been made and inquiries continue at pace," the Metropolitan Police said.
Amman was under active police surveillance at the time of the attack. He had served half of his sentence of three years and four months when he was released.
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