To meet the multi-band and integration requirements of the communication apparatus, the coupling and resonance mechanism can be exploited to design a miniaturized-element frequency selective surface (FSS) with two independent pass-bands at Ku-band and millimeter wave (MMW) frequency. The interaction of the layers was analyzed based on the structure, and the precise transmissions for different parameters were obtained using the vector modal matching method. The results show that the structure has two independent and largely separated pass-bands: the first one has miniaturization characteristic with a unit cell size of about λ1/10, where λ1 is the wavelength at the center frequency of the first pass-band; the second one is a rectangular pass-band with a “shallow vale” of -0.828 dB at 47.4 GHz between two peaks at 42.6 GHz and 49.6 GHz, respectively. The transmission and resonant frequency are stable as the incident angle was varied from normal to 60°. The multifunctional FSS can satisfy the engineering requirements via parameters optimization.