He found fame in The Partridge Family before going on to become a 1970s teen pop idol.
A family statement said: “David died surrounded by those he loved, with joy in his heart and free from the pain that had gripped him for so long.”
David Cassidy was admitted to hospital last week after suffering multiple organ failure.
Earlier this year, the actor and singer said he had dementia and would stop touring in order to “enjoy life”.
David Cassidy was born in New York to a family familiar with the entertainment industry. His father was a singer and actor and his mother was an actress.
He became a star playing Keith Partridge in The Partridge Family – a 1970s sitcom about a mother and five children who formed a rock and roll band.
The Partridge Family spawned several hit songs, such as I Think I Love You.
Following the sitcom David Cassidy enjoyed a hugely successful career in music and acting. He received multiple Grammy nominations and sold more than 30 million records worldwide.
At the peak of his fame in the 1970s, David Cassidy’s fan club had a bigger membership than that of The Beatles and Elvis Presley.
Hundreds were injured in a stampede at one of David Cassidy’s shows in 1974, with a girl dying a few days later.
In recent years the singer has spoken about his struggles with alcohol.
In 2015, David Cassidy filed for bankruptcy. Between 2010 and 2014, he was arrested three times for DUI, and was ordered to rehab as part of his sentence in 2014.
David Cassidy has divorced three times and has two children.
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