The invention discloses a filtering device for a range hood. The filtering device comprises a first-layer screen plate, a second-layer screen plate and a third-layer screen plate which are sequentially arranged from bottom to top in a spaced manner, wherein the first-layer screen plate comprises a plurality of first bulges, which are arranged left and right in a spaced manner, and a plurality of first recesses, which are arranged left and right in a spaced manner, and a first mesh is formed in each first bulge; the second-layer screen plate comprises a plurality of second bulges, which are arranged left and right in a spaced manner, and a plurality of second recesses, which are arranged left and right in a spaced manner, a second mesh is formed in each second bulge, and a third mesh is formed in each second recess; the third-layer screen plate comprises a plurality of third bulges, which are arranged left and right in a spaced manner, and a plurality of third recesses, which are arranged left and right in a spaced manner, and a fourth mesh is formed in each third recess; and positive projections of the first-layer screen plate, the second-layer screen plate and the third-layer screen plate on the same horizontal plane all have overlapped portions at joints and are gapless.