Manchester born Davy Jones, who lived in Hollywood, was rushed to hospital suffering from a cardiac arrest, but could not be resuscitated.
His manager and brother-in-law Joseph Pacheco described him as a "incredible human being".
Jones found fame as the frontman of the 60s group The Monkees, who had nine top 40 hits including I'm A Believer, Daydream Believer and Last Train To Clarksville.
He was rushed to Martin Hospital South in Stuart, Florida, but was pronounced dead. Jones leaves behind his third wife Jessica, four daughters, and three grandchildren.
The star's former bandmate Peter Tork said in a statement on Facebook:
"It is with great sadness that I reflect on the sudden passing of my long-time friend and fellow-adventurer, David Jones."His talent will be much missed; his gifts will be with us always. My deepest sympathy to Jessica and the rest of his family. Adios, to the Manchester Cowboy. Peace and love, Peter T."
Former Smiths guitarist Johnny Marr also paid tribute, saying: "I was listening to some Monkees records recently, I like a lot of them. He has a legacy because people are talking about him today. There are a lot of musicians who have passed away who people don't remember."