A close family friend told reporters: "He died with one thought in mind - love one another."
There are now two members of the legendary band still alive, Paul McCartney and Ringo Starr. John Lennon was shot and killed by a fan in 1980.
Harrison bought his first guitar at the age of 14 for £3 and a year later joined a group called The Quarrymen, with Lennon and McCartney.
In 1998, Harrison was treated for throat cancer and in 1999 someone broke into his home and attacked him, stabbing him several times.
In July 2001, he released a statement asking fans not to worry about reports that he was still battling cancer.
George's mansion in Henley, west of London, will become a shrine to thousands of fans from around the world.
For many music fans, the thought that this world will be one Beatle less, will be extremely hard.