The film released a first trailer Thursday featuring Kaling as TV writer Molly Patel and Thompson as late-night talk show host Katherine Newbury.
The preview shows Molly help revitalize Katherine's show after she is hired amid flagging ratings. Molly brings energy and a fresh perspective to Katherine's mainly white and male writing team.
Kaling promoted the movie in a tweet Thursday.
"Just here to shake things up," she wrote. "@LateNightMovie arrives in theaters June 7th!"