In order to study the influence of femtosecond laser-produced plasma filaments array on the transmission characteristics of 10 GHz microwave, the numerical simulation model of the interaction between femtosecond laser-produced plasma filaments array and microwave was established by COMSOL. The effects of plasma filaments array parameters, plasma characteristic parameters and array layer number on the reflectance and transmittance of microwave were studied. The numerical results show that the plasma filaments array becomes transparent when the direction of the microwave electric field is perpendicular to the filaments axis, regardless of the incidence angle of the microwave with respect to the filaments. Increasing the filaments diameter or electron number density, or decreasing the filaments spacing or electron temperature will lead to the reflectance increasing and the transmittance decreasing. The maximum reflectance of 10 GHz microwave with plasma filaments array is up to 0.88 while the filaments diameter is 500 μm, the filaments spacing is 1 mm, and at this time the electron number density is 1×1023 m-3 and the electron temperature is 0.3 eV. When the number of filaments array layer number is increased, the transmittance decreases, eventually approaches zero, and the reflectance remains constant. The results of this study are helpful for the femtosecond laser-produced filaments array to interfere with microwave.