In this paper， the multi-coatings composed of layers of zinc sulfide and germanium were designed and fabricated on a long-wavelength InAs/GaSb Type-II superlattices infrared focal plane arrays （FPAs）. Compared with the FPAs without multi-coatings， the multi-coatings make the response peaks of the FPAs shift from the wavelength of 8.7 μm and 10.3 μm to that of 9.8 μm and 11.7 μm. The 50% response cut-off wavelength of the FPAs shifts from 11.6 μm to 12.3 μm， and the response intensity of the FPAs is increased by 69% at the wavelength of 12 μm. In summary， the multi-coatings make the response wavelength of the FPAs tunable， which provides a powerful platform for more sensitive long-wave detection and improving imaging capabilities.