A new architecture for a low-profile miniaturized-element frequency selective surface based on complementary structure capable of providing a high angular stable performance is proposed. The proposed FSS is composed of an array of convoluted cross dipoles and its complementary slots pattern that is separated by a thin dielectric substrate. An equivalent circuit model for this FSS is presented to provide a deep insight into the mechanism of reducing the unit size by shifting and lengthening the dipoles. With the use of this method, the FSS unit cell size has been significantly reduced to only 0.0085λ × 0.0085λ, and the thickness is 0.000093λ, where λ represents the resonant wavelength in free space. Moreover, the proposed FSS achieves good stability in the scope of incidence angles of 86 degrees for both TE and TM polarizations. Besides, the length of the dipoles can tune the resonant frequency.