Device for dispensing and applying a liquid, semi-fluid, or pasty cosmetic or care product having an elongate and hollow rotary body and an elongate and hollow outer shaft butted together and rotatable one to the other, an applicator endpiece secured to the end of the rotary body, the rotary body and outer shaft forming an interior volume in which a pierced cylinder having a longitudinal duct is formed, and an inner shaft having an open end through which the pierced cylinder is introduced and a closed end forming a reservoir for the product. The pierced cylinder is fixed in translation with respect to the rotary body. A mechanism of the device converts rotation of the rotary body with respect to the outer shaft into movement of the inner shaft in translation with respect to the pierced cylinder in the interior volume formed by the rotary body and the outer shaft.