Veteran Labour MP Harriet Harman said: "At Frank's core was the conviction that poverty was never to be accepted and could be ended. Clever, persistent and caring, he held that argument high across decades RIP"
And Labour former minister Dame Angela Eagle said: "Very sad news. Always supportive of me as his Parliamentary neighbour, brimming with ideas to make society better - a great champion of his Birkenhead constituents: RIP Frank"
Lord Field took his seat in the upper chamber in October 2020 after being elected 10 times to represent Birkenhead between 1979 and 2019.
He served as welfare reform minister in Tony Blair's first government in 1997 and went on to chair the Work and Pensions Select Committee.
He later resigned the Labour whip over antisemitism and "nastiness" in the party under Jeremy Corbyn's leadership.
Last February, the peer was cheered as he made his first appearance in the House of Lords for almost two years, arriving in the chamber in a wheelchair to pledge allegiance to the King.
He had told the Observer of his determination to take the oath to the King - something all peers are obliged to do after the death of a monarch.
The politician was made a member of the Order of the Companions of Honour in the 2022 New Year Honours, describing it at the time as a "terrific privilege".
The acknowledgement of Lord Field's public and political service followed a career in which he showed support for causes including pensions reform, ending child poverty and stamping out modern slavery.
He served on the boards of the charities Cool Earth and Feeding Britain, as well as the Frank Field Education Trust.