A research has been carried out on the optical properties of double gold nanobars embedded in split ring pairs by adopting the finite difference time domain method. The study shows that the optical transmission spectra of the resonant ring pairs are influenced by the distance between the nanorods, the width of the opening slot and the dielectric constant of the filling medium. Based on the distribution analysis of the electric fields Ex and Ey, it is revealed that the resonance peak originates from 0-phase resonance mode, and the resonance dip originates from π-phase resonance mode.