Co-polymerization of methyl acrylate, a vinyl monomer, onto Tefzel film is done by discontinuous gamma ray double irradiation in an aqueous medium. Tefzel however is a polymer having the properties of polyethene and poly (tetrafluoroethylene). In the ideal condition, the highest percent of grafting for methacrylate was obtained which was 684.9% and it was obtained using 33.2 kGy dose and 2.3 moL L-1 concentration of methyl acrylate. The impact of alcohols such as methanol, ethanol, n-butanol, cyclohexanol, and amyl alcohol on the grafting proportion of methacrylate onto Tefzel film has also been investigated. IR spectroscopy and thermogravimetric analysis were performed to characterize Tefzel and grafted Tefzel film. Nevertheless, the Tefzel film with high grafting showed a good thermal behavior which can be employed in many other applications.