An air cleaning filter having a carrier made of activated carbon fibers in the form of a web which supports at least one kind of chemical agent selected from the group consisting of (a) an alkali agent selected from a hydroxide or carbonate or an alkali metal, (b) an acidifying agent selected from acid aluminum phosphate or phosphoric acid, and (c) an oxidizing agent composed of two compounds, i.e. active manganese dioxide resulting from an alkali permanganate and an alkali iodate, or which supports combined chemicals of (a) the alkali agent and (c) the oxidizing agent, or combined chemicals of (b) the acidifying agent and (c) the oxidizing agent, wherein one or both surfaces of the web are covered with a nonwoven fabric to make an integrated filter.