The Empire State actress is said to have struck up a romance with Peters while the pair were starring together in the forthcoming comedy Adult World.
The young stars made their first public appearance as a couple at the wedding of a mutual friend and stylist in Santa Barbara, California, reports JustJared.
"Emma and Evan have been dating for a few months and even worked together on the satirical comedy Adult World," a source told the website.
"They were holding hands and locking arms at the wedding and looked really cute."
Roberts previously dated Glee star Chord Overstreet. They ended their relationship in January, though they briefly reunited in April.