In the present study, poly (acrylonitrile-co-methyl methacrylate), P (AN-co-MMA), nanofibers and P (AN-co-MMA) nanofibers with Functionalized Single-Walled Carbon Nanotubes (F-SWCNTs) were produced by electrospinning and became stabilized. Besides, samples were evaluated using Differential Scanning Calorimetry (DSC), Fourier Transform Infrared Spectroscopy (FTIR), a Scanning Electron Microscope (SEM), and X-ray diffraction (XRD). In the sample containing F-SWCNT, the amount of the heat released during stabilization reactions was lower than that with pure PAN copolymer nanofibers. This indicates that the F-SWCNTs prevent damage and sudden release of heat to the nanofibers during the stabilization process. Besides, the carbon nanotubes (CNTs) greatly prevent a decrease in the diameter of the nanofibers the size of the crystals, and the arrangement of the nanofibers during the stabilization process.