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A design of a multilayer microwave filter with electrical small parts is presented in this paper using an efficient implementation of locally implicit discontinuous Galerkin finite element time domain method (LIDG-FETD). Discontinuous Galerkin's method allows the division of the model in several domains, with a reduction of the total number of unknowns by using unstructured meshes. Furthermore, in order to get an unconditionally stable (arbitrary Δt) and efficient time stepping algorithm, the implicit Crank-Nicolson method with block successive over relaxation (CN-BSOR) was implemented. Accurate and fast results were obtained respect to commercial software.