For the band, see Kleenex (band) . For the generic item, see Facial tissue. Kleenex is a brand name for a variety of paper-based products such as facial tissue, bathroom tissue, paper towels, tampons, and diapers.imberly-Clark Corporation of Neenah, Wisconsin is the current registered owner of the Kleenex trademark. In the USA, the Kleenex name has become, or as a legal matter nearly has become, genericized: the popularity of the product has led to the use of its name to refer to any facial tissue, regardless of the brand.