Finnegan's older brother Chris was an Olympic gold medalist and also a professional boxer.
Early in his career when Kevin was still an amateur he was banned for 18 months for climbing into the ring to dispute a loss his brother had suffered.
He was well known for a trilogy of fights against Alan Minter; although he lost all three, they were close point decisions.
Finnegan twice fought future undisputed world champion Marvin Hagler, losing by a technical knockout on both occasions.
Finnegan died of heart disease on 23 October 2008, at his home in Hillingdon.