The present invention provides fabrics that have unique chemical, electrical, and thermal properties. The fabrics comprise layers of yarns woven together wherein the yarns further comprise carbon nanotube fibers. These carbon nanotube fibers may be either single-walled or multi-walled carbon nanotubes. The use of carbon nanotube fibers allows the fabrics to insulate, semi-conduct or super-conduct electrical charges. Additionally, the thermal properties of carbon nanotubes allow thermal energy to flow efficiently between the fabric and a heat sink or source. Additional yarns of materials other than carbon nanotubes can be integrated or woven into the fabric to provide other unique properties for the fabric. These fabrics can be layered to form unique garments or structures.