Provided is a hairstyling appliance for styling hair, comprising a first housing and a second housing facing the first housing; the housings, of longitudinal axis, being connected in a pivoting manner by a hinge so as to define an open and closed position of the appliance; the first housing having a first hair treatment surface which is intended to be heated by a first heating means; the second housing having at least one second hair treatment surface which is intended to come into contact with the first surface in order to grip the hair in the closed position; the appliance containing two cylinders arranged on each side of one of the treatment surfaces, the cylinders being mounted so as to be able to rotate about their longitudinal axis.