The singer, who passed away on February 29 at the age of 66, was celebrated at a ceremony yesterday (March 7) attended by a select group of family and friends.
As previously reported, Jones was to be cremated and his ashes sent back to his hometown of Manchester.
The city will hold a public memorial for Jones next week, his spokesperson confirmed to Reuters. Other concerts have been tipped to take place in either New York or Los Angeles.
Jones's Monkees bandmates Micky Dolenz, Peter Tork and Michael Nesmith explained recently that they would not attend the funeral out of respect for his loved ones.
"The family wants to keep it very, very low-key and very, very private," Dolenz said. "And you can imagine as soon as one or two or any of us were to show up, it would very quickly be degraded."
He also said the trio may miss the rumoured memorial events and pay tribute to Jones at a later date.
"I can see us getting together to do a memorial concert," he said. "But right now I can't imagine anything else happening."
> Monkees discussing tour before Davy Jones death, says Peter Tork
View Davy Jones's life in pictures below: