We propose a digital filter design method for high-order series-coupled microring resonator (MRR) filters considering coupling loss in coupling areas. This method makes it possible to design high-order MRR filters with desired parameters such as a 3 dB wavelength bandwidth, free spectral range (FSR), and center wavelength, which have been difficult to design so far. It is possible to apply the proposed design method to design MRR filters based on the Vernier effect with an expanded FSR. We demonstrate fourth-order Butterworth and Chebyshev silicon-based MRR filters designed with the proposed method. The 3 dB wavelength bandwidth, FSR, and center wavelength of the designed MRR filter are almost identical with the target values.