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The excellent non-equilibrium characteristic of the nanosecond pulsed dielectric barrier discharge (NPDBD) plasma can overcome thermodynamically barriers of reactions in the dry reforming of methane (DRM), so that the NPDBD plasma coupled with catalyst provides an attractive alternative to the traditional catalytic method of the DRM. In this work, the one-dimensional fluid model, including 68 species and 276 reactions, is built up to numerically investigate the atmospheric-pressure CH4/CO2 plasma driven by the nanosecond pulsed power supply. Discharge current densities, discharge gap voltages, dissipated power densities, spatial averaged particle densities and spatial distributions of the high-density species, and generating reaction pathways of the significant species in CH4, CO2, and CH4/CO2 NPDBD plasmas at atmospheric pressure are systematically illustrated and discussed. The simulation results should be valuable for optimizations of both existing and emerging DRM approaches using the NPDBD plasma, the plasma-assisted catalyst, and other novel plasma-based fuel reforming technologies.