The pair met in the summer but sources claim they broke up a few weeks ago after drifting apart because of their busy schedules.
A source said to the NY Post: 'It was mutual and amicable.'
The Jonas Brothers singer recently opened up about his relationship with the actress, who is best known for playing Alice in the Twilight Saga.
He recently said to Details magazine: 'I think what works about it is she really puts my feelings first. She understands my busy schedule.'
Greene has recently been filming The Twilight Saga: Breaking Dawn while Jonas is preparing to release his solo album later this year.
According to the NY Post, a rep for both stars could not be contacted.