The S-typed LHM is selected as design objective. The center frequency of S-typed structure is set as 60 GHz. By reasonably varing the corresponding parameters size of unit structure, the required electric resonance and magnetic resonance frequency can be obtained. Based on the theoretical analysis of S-typed structure, the coincidence frequency of negative permeability and permittivity can be optimized as possible as ideal. The dielectric constant of substrate can effect the characteristic and stability of LHM. In this paper, the dielectric constant is set as 2.2. The electromagnetic parameters are extracted using NRW method. The negative ε and negative μ index can be obtained in the band from 58.1 GHz to 61.4 GHz which is proved as left-hand band. From the simulation results of scattering parameters, it can be observed that the S21 values are greater than -3 dB with the frequency range from 58 GHz to 62 GHz and the S11 values are less than -20 dB with the frequency range of 59.8~60.4 GHz. Therefore, the results can be referred as the design of filter and antenna for 60 GHz communication.