The investigation was performed on three woven mesh fabrics made of polyethylene terephthalate (PET), polyamide (PA) 6.6 monofilaments, and PA 6.6 with carbon filament (CF). The dielectric properties were examined as functions of frequency at room conditions and as functions of frequency and temperature under the vacuum. It was observed at lower frequency higher changes of dielectric permittivity for the sample with CFs at room conditions. For PET and PA 6.6, dielectric permittivity in the vacuum was steady and little lower; furthermore, dielectric spectra showed the existence of γ-, β-, and α-relaxations. The dc volume electrical resistivity was investigated in the function of relative humidity at room temperature for PA 6.6 and PA 6.6 with CF. For the sample with the CF, a decrease in the dc electrical resistivity of nine orders of magnitude in the direction with CF was registered as compared to the direction without a conductive filament.