Our aim with this letter is to exhibit the extension of discrete mode-matching method to analyze multilayered microstrip transmission lines with anisotropic dielectric layers. The mathematical formulation is presented to deal with multilayered structures with metallizations in the interfaces. The application is demonstrated by computing propagation constant and characteristic impedance for multilayered microstrip and two-layer coplanar waveguide with uniaxial anisotropic dielectric. The validation of the results has been done by comparing with simulations with ANSYS HFSS and some of them also with open literature. A very good agreement has been observed.