The on-and-off couple, who first started dating in February 2013, is said to have decided to end their romance recently, reported Us magazine
"They are taking a break. It is because of busy schedules," a source said.
The duo briefly split last April but reunited in June before jetting off on holiday to St Tropez in France.
The 45-year-old singer and the 22-year-old British Topshop heiress were last seen together at the Grammy Awards in Los Angeles on January 26.
Anthony, who has five-year-old twins Max and Emme with his ex-wife Jennifer Lopez, began seeing Green shortly after splitting from model Shannon De Lima in January 2013.
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