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Green's function for a point source above a two-dimensional periodic boundary is presented in spectral form based on the zero term only of the infinite scattering Floquet modes. This formulation is applied to obtain the Dyadic Green's function of a printed source above a dielectric slab with periodically defected ground plane by using a generalized equivalent network of this defected ground plane. This equivalent network is obtained from the reflection coefficients of the defected-grounded slab for different angles of incidence. By determining the generalized equivalent network of the defected ground plane, the problem of the Green's function can be formulated by using coupled TE and TM transmission line networks.