By adding a resonant waveguide, the electromagnetically induced transparency (EIT) was achieved due to the destructive interference between the side-coupled cavity and the resonant waveguide. The proposed structure was analyzed by the coupled-mode theory and demonstrated by the finite element method. The simulation results showed that not only can we achieve multiple modes EIT-like transmission, but also get a single-mode EIT-like transmission by choosing the proper position of the resonant waveguide. The transparency effect induced by coupled resonance may have potential applications for nanoscale optical switching, nanolaser, and slow-light devices in highly integrated optical circuits.