The 23-month-old youngster, was snapped by her famous mum reading Tina Fey's book Bossypants on a sun lounger on the beach.
"One of my favorite girls reading one of my favorite books written by one of my favorite women! #tinafeyrules #summerreading," 39-year-old Drew captioned the picture.
The photo shows young Olive in a cute floral swimming costume and a pale blue hat, clearly concentrating hard on her reading material.
Drew's cute snapshot quickly garnered more than 73,000 likes and a host of adoring comments from her fans.
The Blended actress has previously spoken of her eldest daughter's love of reading.
"I read her a lot of books," she told Us Weekly in 2013. "She loves books! That's her favorite thing in the world, books. She is 14 months so it's as much as she can grasp, but she definitely gets it."
Drew is currently holidaying with her husband Will Kopelman, Olive and the latest addition to their family, four-month-old Frankie.