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The selective microwave absorption properties of individual and multiple CoFe-glass coated amorphous microwires (GCAW) with small negative value of magnetostriction (λ ~ -1×10-7), positioned in various configurations are investigated. The deep minimum in the transmission spectra correspond to the first antenna resonance for each length of the individual microwire indicating a selective stop filter behavior. A new type of shielding material in the shape of a multilayered material based on CoFe-GCAW with desired shielding effectiveness and selective absorption of the microwave frequency range by controlling the number of the layers and the length of microwires is proposed and the omni-directional selective shielding properties in the microwave frequency range are determinated. The shielding effectiveness measurements results were SE=4 dB to 9.5 dB for the samples with two layers, SE=18 dB to 33 dB for sample with 14 layers, and SE=36 dB to 48 dB for sample with 28 layers, respectively.