In the case of stone relics with cultural heritage value that are exposed to the adverse effects of direct exposure to weathering, we present a metamaterial with a composite structure that can passively control the transmittance of infrared and visible light. This periodic multi-layer structure consist of metal and dielectric layers, these have the function of low transmittance at infrared wavelengths and high transmittance in visible light. Its spectrally-selective behavior offers the possibility of both temperature regulation and natural daylighting of cultural relics. In addition, it can be discretely integrated with an existing architectural façade to provide weathering protection against rain and snow. Results show the composite structure can not only obtain a band gap width of 109 THz in the near infrared wave-band but also ensure that most of the visible light's transmittance is higher than τ=0.4. Furthermore, since the transmission spectrum is independent of polarization angle, the cultural relics benefit from its spectral-selective properties regardless of the polarization angle due to the sun's position.