Based on the method of the circuit, N-order series-coupled microring resonator filters was equivalent to a baseband LC ladder network. By solving the element parameters of LC ladder network, the coupling coefficients of microring filters can be obtained. Using this method, microring filters with Chebyshev response were designed. To prove the reliability of this method, it was compared with the traditional coupled mode theory method and the ideal Chebyshev response. Finally, the effects of coupling coefficients and the ring number on the output characteristics of Chebyshev microring filters were discussed. Numerical simulation indicated that the passband flatness was worsened with the deviation of coupling coefficients increasing, and at the same time, the bandwidth of the passband would increase with the coupling coefficients. And a square passband shape was achieved for the larger ring number and the faster transition attenuation.