Abstract: The present invention relates to a composite having a carbon nanostructure, comprising graphene, amorphous carbon and a non-carbon non-oxygen element, wherein the non-carbon non-oxygen element is in an amount of 0.5 wt %-6 wt % of the composite. The present invention discloses controlling the content of the non-carbon non-oxygen element in the composite to obtain excellent far-infrared effect and antibacterial and bacteriostatic effects, wherein the normal emissivity in the far-infrared performance reaches 0.85 or more, and the antibacterial rate reaches 95% or more. The composite having a carbon nanostructure of the present invention is applied to macromolecular materials to modify macromolecular materials under the circumstance that the addition amount is relatively low. The composite having a carbon nanostructure can achieve notable far-infrared performance and antibacterial and bactericidal performances without any pre-modification and activation treatment.