Abstract: Based on deducing of Spectral dyadic Green’s function of left-hand stratified media, the slow-converge characteristics of Spectral dyadic Green’s function of left-hand stratified media are analyzed and validated. In order to calculate the spatial Green’s function accurately, DCIM is improved according to the properties of left-hand material. The results are in good agreement with those achieved by direct numerical integration, which confirms the correctness, accuracy for this method. Some LH substrate microstrip antennas were analyzed by using spatial Green’s function and the characteristics of this antennas were got such as narrow mainlobe beamwidth, low elevation and so on.