The present invention relates to a packaging and applicator device (1) for applying a cosmetic or a care-product composition to the lips, the device comprising: ⋅ a container (2) containing the composition for application to the lips; and ⋅ an applicator member (6) that defines two opposite main application faces (11) that generally converge towards the distal end of the applicator member, for applying the composition to the user's bottom and top lips simultaneously; a greatest thickness of the applicator member, measured between the two main application faces, being greater than or equal to 4 mm, the greatest width of said main faces lying in the range 4 mm to 15 mm.