The 47-year-old Charlie's Angels actress, who married 32-year-old Kutcher in 2005, has allegedly become jealous of his kissing scenes with 28-year-old actress Natalie Portman in movie Friends With Benefits.
A friend of Moore told Star magazine: "Demi is obsessed with the idea that Ashton might stray."
Moore reportedly rushed to the set of the movie to watch the love scene between Kutcher and Portman and marched him to his trailer afterwards.
The couple are believed to be trying for a baby.
