Abstract: The invention relates to a fastening device for the headrest of a vehicle seat, comprising two fixtures which are spaced apart in the transversal direction (Y) of the seat and guide two rods (6, 7) that support the headrest so as to be able to adjust the height thereof. Said fastening device encompasses a fixture comprising a first guiding sleeve (23) that receives and slidingly directs a support rod (7), and a support (24) which is guided on the frame (2) of the vehicle seat so as to be movable in the transversal direction (Y) of the seat, and on which guiding sleeve (23) is mounted so as to be pivotable about a first swivel pin (27) extending in the longitudinal direction of the seat (X).