The invention belongs to the field of waste water purifying treatment by an adsorption method, and discloses an inorganic cellular material and a preparation method and an application of cellular material for removing hexavalent Cr in waste water. a boron source and an aluminum source are dissolved in water, an alkali source is added, the pH value is adjusted for thermal crystallization, and steps of washing, solid-liquid separating and drying are carried out to obtain the inorganic material having micropore structure characteristic; the material can generate strong electrostatic force with Cr(VI) existed as an anion form in waste water, so that a purpose of deep removal can be achieved, the Cr(VI) in the waste water can be removed to lower than 0.5 mg/L with one time. The inorganic cellular material has the characteristics of low synthesis raw material cost, short synthesis period, no requirement of modification, good heat stability, fast adsorption rate, and good removal depth, and has good industrial application prospect.