The present invention provides an optical polarizer and a method of fabricating such an optical polarizer. The optical polarizer includes a support member and an optical polarizing film supported by the support member. The optical polarizing film includes a number of carbon nanotubes. The carbon nanotubes are compactly aligned with and parallel to each other. The optical polarizing film constructed with carbon nanotubes can work at high-temperature and in moist environments and has excellent abrasion resistance properties. Furthermore, a diameter of a carbon nanotube is only about 0.4.about.30 nm, so the polarizing ability of the optical polarizer can extend into the UV region. The degree of polarization in the UV region is 0.92.