The Premier League clubs issued a statement on behalf of his family to confirm he passed away on Sunday.
Clemence, a former England international, was part of the dominant Liverpool side of the 1970s and also enjoyed success at Spurs before retiring in 1988.
We are extremely saddened to learn that former #ThreeLions goalkeeper and coach Ray Clemence has passed away at the age of 72.— England (@England) November 15, 2020
All of our thoughts are with Ray’s family, friends and former clubs at this time. pic.twitter.com/VfMLuhH8zw
"With great sadness, we write to let you know that Ray Clemence passed away peacefully today, surrounded by his loving family," the family statement said.
"After fighting so hard, for such a long time, he's now at peace and in no more pain.
"The family would like to say a huge thank you, for all the love and support that he's received over the years. He was loved so much by us all and he will never be forgotten."
"We should never forget it is great players who make great teams and clubs." ❤️— Liverpool FC (@LFC) November 15, 2020
Jürgen Klopp has expressed the appreciation felt by everyone at Liverpool for Ray Clemence...
Signed by Bill Shankly in 1967, Clemence won five First Division titles and three European Cups with Liverpool in a glittering 14-year spell at Anfield.
He then spent seven years with Spurs, winning the 1982 FA Cup and 1984 UEFA Cup.
A message from Ray's family:— Tottenham Hotspur (@SpursOfficial) November 15, 2020
“After fighting so hard, for such a long time, he’s now at peace and in no more pain. The family would like to say a huge thank you for the love and support he’s received over the years. He was loved so much by us all and will never be forgotten.” pic.twitter.com/s157vIN3Vg
Clemence played 61 times for England and became goalkeeping coach for the national team under Glenn Hoddle, Kevin Keegan and Sven-Goran Eriksson, then later taking on the role again during Roy Hodgson's reign.
Having also worked with the English Football Association in youth development, he retired from the England set-up in 2013.