Novel highly fluorinated polymers with the benzoxazine moiety in the main chain have been synthesized by incorporating a highly fluorinated diamine with polyfluorinated bisphenol A. The value of the dielectric constant of the step cured polymer film is 2.20. An analogous hydrogenated version, whose dielectric constant value of 2.8 is also synthesized. The molecular structure of the polymers is characterized by NMR and FT-IR and thermal stability by TGA. The dynamic mechanical properties of the polymer step cured under air and under nitrogen are analyzed.