"It's a sad day for everyone," McGreevey told The Associated Press on Friday. "It is something that had to be done. We are blessed with a wonderful daughter who remains our focus."
McGreevey resigned after announcing that he was "a gay American" who had had an affair with a male staffer.
The marriage was McGreevey's second. His previous marriage also ended in divorce.
McGreevey's lawyers filed the two-page document seeking to dissolve his union with Dina Matos McGreevey in Elizabeth, county court spokeswoman Sandra Thaler-Gerber confirmed.