When Master Roshi extinguishes Fire Mountain with the Kamehameha, Oolong is forced by Bulma to briefly Shapeshift into Bulma wearing the Bunny costume to fool Master Roshi, who wanted to touch Bulma's breasts as payment for extinguishing the flames on Fire Mountain, however her plan backfires when Oolong (in Bulma's form) goes overboard and ends up exposing her breasts to Roshi, angering Bulma.
Bulma had no choice but to wear this as it was the only clean clothes around that fit her.
Oolong had stored this in his House-Wagon. The costume has six pieces: a black headband with black rabbit ears (known as Bunny Ears), a white shirt collar with a red bowtie, a black leotard with a white cotton rabbit tail, a pair of blue tights, a pair of red high heels with ankle-straps, and a pair of white shirt cuffs.