This article presents a comprehensive numerical study of resonant and nonresonant microstrip discontinuities that are printed on anisotropic substrates. The approach employs the method of moments (MoM), which is implemented for the gap, step, and stub discontinuities for the first time in MICs with other than biaxial anisotropic substrates. Numerical results include the variation of the normalized gap admittances with respect to different material parameters, insertion and transmission loss of step discontinuities, and shifts in resonant frequencies of tuning stubs due to rotation of the principal axes of the substrate. Computed data are validated for every structure against results in previously published literature. © 1995 John Wiley & Sons, Inc.