The terahertz time domain spectroscopy technology is used to measure the terahertz spectral of three ellipse gold rings structure which deposited on the silicon substrate by the photo lithography technique and the thickness of gold film are about 100 nm. Then the physical mechanism of transmission enhancement through the structures is analyzed. The results show that the transmission coefficients of these structure samples are above 0.7 which suggests the sharp transmission enhancement in THz wave band. When the angle between the THz wave polarization direction and the long axis of elliptic ring is 90°, the resonance peak at 1.67 THz is result from the coupling between the short axis direction of electronic formed dipole oscillation and the incident THz wave. While the angle is 0°, the periodic array sample has not obvious resonance peak, the resonance peak of the patter array sample is obviously than the fractal array sample, the worse symmetry of the samples′ structure, the richer information of the transmission spectra. Moreover, the phase differences spectrums are also verify the existence of resonance enhanced transmission.