After seeing all the fine portraits of her family in her house in Paris, Josette decides that her stuffed-animal rabbit Pepette needs a portrait of her own. The two of them set off for Montmartre, the art center of 1920s Paris, to seek out an artist to paint Pepette's portrait. They encounter Pablo Picasso, Salvador Dalí, Marc Chagall, and Henri Matisse, who all try their hand at capturing the rabbit.

Picasso gives Pepette two noses and three ears-which doesn't sit well with Josette. Dalí gives Pepette very droopy eyes – so Josette says "no thank you" and moves on. Chagall paints Pepette flying through the clouds. Josette points out that Pepette doesn't fly and is afraid of heights – so they decide to keep going through the square. When they meet Matisse, he paints Pepette pink, with lots of colorful dots and splashes covering the canvas. It's a beautiful piece of art, but it's not Pepette.

Giving up, Josette and Pepette make their way home. Josette is upset that no one was able to capture the true essence of Pepette. Who could paint her soft gray ears, her heart-shaped nose, and all her wonderfulness? And then it comes to her – she, Josette, is the perfect person to do this.