The couple, who had been dating since last summer, have broken up, their reps confirm to PEOPLE.
Greene, 24, who plays Alice Cullen in the Twilight films, and Jonas, 21, one-third of the Jonas Brothers, went public with their relationship last fall after dating quietly for a few months.
In recent weeks, the two, who were never shy about affectionate public appearances, were spotted – separately – at various L.A. clubs. On March 11, Greene and Zac Efron partied with pals at Trousdale Lounge, while Jonas spent a guys’ night out at the same club three nights earlier.
• Reporting by JULIE JORDAN