Abstract-The main purpose of this work is designing a structure with broadband Negative Refractive Index (NRI) in the wavelengths range of 3-5 µm using multilayer structures. In the proposed structure actually nano composite thin films are used to make multilayer waveguide to show effective NRI. In the composite structure, core-shell nanoparticles including metallic core and a polymeric shell with high refractive index are used. Here, it is shown that by increasing the number of composite layers the bandwidth for NRI can be increased. Therefore, based on simulation results, in eight-layer waveguide, NRI is available in complete 3 to 5 µm MIR band. In this regard, also, the effect of filling factor (in each thin film layer) on NRI is studied. Index Terms-Metamaterial, Negative Refractive Index and Multilayer Waveguide 0733-8724 (c)