The propagation of high-power microwave (HPM) in a double-line containing plasma filaments produced by intense femtosecond laser pulses is investigated with the electromagnetic simulation software CST. The results show that HPM can propagate around the surface of the line rather than in the plasma with a velocity near the speed of light. We can also obtain that the amplitude of the induced current and the electric field is inversely proportional to the HPM propagation length and the spacing between the two channels. Besides, the electric field near the transmission line is larger than that far away from the line. Furthermore, the attenuation of the HPM in the double line is 0.39 dB/m, which is lower than that in the free space. The research results show that the double line can provide efficient transport of the HPM energy.