The present invention relates to a method for treatment and/or purification of water, in particular wastewater or drinking water, preferably for the adsorptive removal of inorganically based or organic, in particular organically-based, impurities, such as trace substances and/or micropollutants, wherein, in a counterflow filter device, in particular a counterflow adsorption filter column, the water that is to be treated and/or that is to be purified firstly, and, secondly, an, in particular particulate, adsorption material are conducted in counterflow and/or in opposite direction to one another. In particular, in this case, a procedure is followed in such a manner that the water that is to be treated and/or that is to be purified is passed through a bed of the adsorption material present in the counterflow filter device for the adsorptive removal of impurities and the bed is exchanged and regenerated by preferably continuous removal and supply of the adsorption material in counterflow to the water that is to be treated and/or that is to be purified.