We present numerical results on the transmission properties of the left-handed materials (LHM) and split-ring resonators (SRR). The simulation resultsare in qualitative agreement with experiments. The dependence of the transmission through LHM on the real and imaginary part of the electric permittivity of the metal, the length of the system, and the size of the unit cell are presented. We also study the dependence of the resonance frequency of the array of SRR on the ring thickness, inner

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... er, radial and azimuthal gap, as well as on the electrical permittivity of the board and the embedding medium, where SRR resides. Qualitatively good agreement with previously published analytical results is obtained.