An electromagnetic shielding composite includes a polymer and a plurality of carbon nanotubes disposed in the polymer in a form of carbon nanotube film structure. A method for making an electromagnetic shielding composite includes the steps of: (a) providing an array of carbon nanotubes; (b) drawing a carbon nanotube film from the array of carbon nanotubes; (c) providing a substrate, covering at least one carbon nanotube film on the substrate to form a carbon nanotube film structure; and (d) providing a polymer and combining the carbon nanotube film structure with the polymer to form an electromagnetic shielding composite.