The terrorist attack in London in which three people were stabbed was "saddening and shocking", the Archbishop of Southwark has said.

Archbishop John Wilson lamented how "yet again" innocent bystanders had become victims of terrorist violence. One of those stabbed was a Catholic preschool teacher.

In a statement issued shortly after Sudesh Amman was shot dead by plainclothes police after embarking on a stabbing spree, Archbishop Wilson declared: "Violence solves nothing."

"It is both saddening and shocking that, yet again, there has been a terrorist attack on innocent bystanders on a street in London," Archbishop Wilson said.