The couple delivered personal vows in Jewish traditions at El Capitan Canyon in Santa Barbara, California, reported Ace Showbiz.
The guests were treated with cocktails and dinner at the "rustic-chic celebration" after the ceremony. The party, which coincides with Halloween weekend, doubled as a wedding and costume party.
Chung and Greenberg had known each other for several years and co-starred in three films before dating in spring 2012. They got engaged in San Francisco in late 2013.