The couple announced their engagement two years ago.
"Rosanna Arquette and Todd Morgan were married in a private family ceremony in Malibu on Sunday," Arquette's representative told UsMagazine.com Wednesday. "Todd Morgan is the chief executive officer of Belair investments and a philanthropist. Arquette has recently been seen in 'Girls' and 'Ray Donovan.' She is directing her first feature and has three TV shows in development. They are very happy."
Arquette is best known for her work in the films "Desperately Seeking Susan," "Baby, It's You" and "Pulp Fiction."