Asahina Mirai, a 13-year-old girl who's going into her second year of middle school, witnesses a mysterious object fall into the park. Excitedly, she brings her stuffed bear Mofurun with her to see what it was. When she gets there, she sees a girl named Riko flying on a broom. Mirai has a lot of questions, and Riko explains that she's searching for something. The two of them are wearing similar pendants. Then Batty, an ally of the dark magic user Dokurokushe, appears before them and demands the Linkle Stone Emerald. Batty creates a monster called Yokubarl and drives them into a corner. Mirai, Riko and Mofurun join hands and speak the magic words "Cure Up RaPaPa!", their pendants glow, and they become the legendary Precure.

Source: ANN

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Same setting: Futari wa Precure
Side story: Eiga Mahou Tsukai Precure! Kiseki no Henshin! Cure Mofurun!
Side story: Eiga Precure Dream Stars!
Side story: Eiga Kirakira Precure A La Mode: Paris to! Omoide no Mille-Feuille!
Side story: Petit Dream Stars! Let's La Cooking? Showtime!
Sequel: Mahou Tsukai Precure! 2