An 1.7—2.7 GHz broad-band left-handed (LH) metamaterial with miniaturized unit cell is designed. The relative bandwidth of designed metamaterial is up to 45.5%， the electrical length of its unit cell is less than 0.035，and the transmission loss per unit cell is less than 0.75 dB in the whole operational band of the LH metamaterial. In this paper, the reflection and transmission characteristics of a semi-infinite LH metamaterial plate consisting of LH metamaterial cells is simulated, and the wave number, phase velocity, refraction index, effective permittivity and effective permeability are calculated. The results show the real part of the wave number and the refraction index and the velocity are negative while the real part of the effective permittivity and effective permeability are both negative in the 1.7—2.7 GHz band range.