The invention relates to a process for cleaning exhaust gases produced by a sintering process of metal-containing waste. The sintering exhaust gas includes one or more harmful substances which are eliminated in at least two steps by at least one adsorption and/or absorption agent in a single moving bed in a moving bed reactor system. The moving bed includes a particle layer (stage I) disposed above a flow input area and below an adsorption layer (stage II) of the moving bed. One or more harmful substances in the sintering exhaust gas are absorptively or adsorptively bound to potassium and/or sodium compounds and the harmful substances are trapped by adhesion in the flow input area or the Particle layer (stage I) of the moving bed. The substantial removal of NO.sub.x and the adsorptive or absorptive removal of dioxins and furans takes place in the adsorption layer (stage II) in the moving bed.