The 47-year-old singer and the 29-year-old dancer who have been together since 2011, despite a brief separation in 2014, are said to have gone their separate ways but are still said to be "on good terms" after an "amiable" break up.
A source told PEOPLE: "Jennifer and Casper have split. They have not been together for a few weeks. It wasn't anything dramatic and they were on good terms – it just came to a natural end.
"They will remain friends and they see each other, but they are not together. It was very amiable."