Apart from their love story, the film will also center around the couple's activism in the US, reported Deadline.
"The Theory of Everything" writer Anthony McCarten will serves as the scriptwriter.
"I am honoured and privileged to be working with Yoko Ono, Anthony McCarten and Josh Bratman to tell the story of two amazing global icons," De Luca said.
De Luca is well known for films like "Captain Phillips", "Moneyball" and "The Social Network".
Ono has been preserving Lennon's music and legacy ever since.
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