A hair styling device includes a first and a second arm each having first and second gripping sections mounted to be articulated between the open and closed configurations; a reservoir mounted on the first arm and designed to contain a fluid to be vaporised; a vaporisation device mounted on the first arm and designed to produce steam; and a fluid conveyor element secured to the reservoir and designed to convey the fluid contained in the reservoir towards the vaporisation device. The reservoir extends at least partly in the first gripping section and is mounted such that it can move between a vaporisation position in which the vaporisation device is configured to vaporise the fluid conveyed by said fluid conveyor element, and a resting position.