He played the famous spy in seven Bond films including Live and Let Die and the Spy Who Loved Me.
Sir Roger’s family confirmed the news on Twitter, saying he had died after “a short but brave battle with cancer”.
The statement, from his children, read: “Thank you Pops for being you, and being so very special to so many people.”
“With the heaviest of hearts, we must share the awful news that our father, Sir Roger Moore, passed away today. We are all devastated,” they said in a Twitter post.
Sir Roger, who died in Switzerland, will have a private funeral in Monaco in accordance with his wishes, they added.
“The love with which he was surrounded in his final days was so great it cannot be quantified in words alone,” read the statement from Deborah, Geoffrey and Christian.
“Our thoughts must now turn to supporting Kristina [his wife] at this difficult time.”
It added: “We know our own love and admiration will be magnified many times over, across the world, by people who knew him for his films, his television shows and his passionate work for UNICEF which he considered to be his greatest achievement.
Along with his famous Bond role, Moore was also known for 1960s TV series The Persuaders and The Saint.
Sir Roger was also well known for his humanitarian work – he was introduced to Unicef by the late Audrey Hepburn and was appointed as a goodwill ambassador in 1991, BBC reports.