In this article, the short description of the traditional and green complexing (chelating) agents (EDTA, NTA, IMDA, HEDTA, DCTA, and DTPA as well as IDS, DS, EDDS, GLDA, and MGDA), their physicochemical properties, manufacturing process, as well as application in cleaning compounds, pulp and paper, agrochemical, textile, food, cosmetics, pharmaceutical industries, etc. are presented. The characteristics of their compounds with heavy metal ions are also included.