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The spectral-domain approach is applied to modeling the propagation characteristics of a multiconductor structure of superconducting strip lines with signal strips and ground planes of finite thickness in lossy layered media. Two sets of basis functions (Chebyshev and Legendre polynomials) are compared by their ability for accurate modeling of microwave losses. Simple expressions within the immitance approach are presented for a power flux computation. As a result, complex propagation constants and related modal impedances of a multiconductor structure containing superconducting strips can be calculated with a high accuracy. The model applicability is illustrated by numerical results compared with available simulated data.