A container includes an airless dispenser for a cosmetic product. The container includes a hollow vessel body defining a sealed receptacle for containing a cosmetic product and a base. A dispensing head mounts at one end of the container and communicates with the receptacle for dispensing the cosmetic product. An actuator is associated with the dispensing head and configured to be operable to cause a pressure drop inside the receptacle. An outlet nozzle allows dispensing a desired quantity of cosmetic product when the actuator is operated. A plunger slidably and sealably mounts in the receptacle and is pushed from a spaced-out position towards a closer position relative to the outlet nozzle due to the pressure drop generated by operating the actuator. The hollow vessel body is made of glass, is substantially cylindrical, and defines a substantially constant cross-section through the axial segment in which the plunger is slidable.