To provide a water drop absorbing sleeve for a container to prevent waterdrop on an ice coffee, an ice tea, a beer, or the like poured in a glass.

A corrugated paper with a high water absorptivity, having a structure that a plane part 3 and an uneven part 4 are joined and a wave shape is ranged in a vertical row, is formed to a cylindrical shape and it is engaged on a container 1 to be in contact with the side wall of the container so that water drops and water can be absorbed. And further since it is used for a drink, a color for enticing in taste is added or a two dimensions bar code or a good picture or the like is indicated on the surface as an advertizing medium space.