"A few hours ago, Prince was celebrated by a small group of his most beloved: family, friends and his musicians, in a private, beautiful ceremony to say a loving goodbye," spokeswoman Anna Meacham said in a statement.
"Prince's remains have been cremated and their final storage will remain private."
But she added: "An announcement will be made at a future date for a musical celebration."
In line with statements from authorities, she said that at least four weeks would be needed for the results of an autopsy on Prince's cause of death.