A statement shared with Baker’s 5,900 Twitter followers said: “We are very sad to say that Ginger has passed away peacefully in hospital this morning.
“Thank you to everyone for your kind words over the past weeks.”
Baker’s family announced he was in a critical condition in hospital in a statement on Twitter on September 25, saying: “The Baker family are sad to announce that Ginger is critically ill in hospital. Please keep him in your prayers tonight.”
The cause of death has not yet been confirmed.
It is not known what condition had led to him being hospitalised and in critical condition last month.
Four days after the family informed fans the legendary musician, real name Peter Edward Baker, was in hospital, a tweet posted on his account gave an update, saying: “Ginger is holding his own and thank you for all your good wishes.
“He is receiving visits from close family and very special friends.”
Baker famously founded blues rock band Cream with Eric Clapton and Back Bruce back in the 1960s.
He was known for his fiery temper as well as his immense musical talent.
The drummer once recalled how he got into music, saying: I was always banging on the desks at school. So, all the kids kept saying, ‘Go on, go and platy the drums,’ and I just sat down and I could play.
“It’s a gift from God. You’ve either got it or you haven’t,” he added. “And I’ve got it. Natural time.”
The London-born star, who’s red hair earned him the nickname Ginger, played with the likes of Terry Lightfoot and Alexis Korner’s Blues Incorporated, but it was the formation of supergroup Cream which cemented his place in music’s history books.
Bruce, who played guitar and did most of the lead vocals for Cream, died in 2014.
Both Clapton, 74, and Baker attended his funeral.
An outpouring of love from fans hit social media as soon as news broke of Baker’s death, with many flooding to Twitter to pay tribute.
Stars including Slipknot’s Jay Weinberg and Edgar Wright shared paid their respects, with the former simply saying: “Thank you Ginger Baker.”
Director Wright tweeted: “RIP the music giant that was Ginger Baker. The beat behind too many favourite songs from Cream, The Graham Bond Organisation and Alexis Korner’s Blue’s Incorporated.
“If you haven’t seen the great doc Beware of Mr Baker do check it out,” he urged fans.”
“Stirred to the news of Ginger Baker’s passing,” one wrote. “Another giant gone.”
“RIP Ginger Baker, one of the greats, a unique trailblazer of a drummer,” another said.
Meanwhile, a third added: “The afterlife had best be ready. RIP Ginger Baker.”