In this study, two types of CNTs, namely, multi wall carbon nanotubes (MWCNTs) and single wall carbon nanotubes (SWCNTs) were used. To effectively transfer the superior properties of the carbon nanotubes to nanocomposites, there are critical challenges, innuendo, dispersing nanotubes and achieving strong interfacial bonding between the nanotubes and polymer. Dispersion of nanotubes is one difficult step in fabricating nanotube composites. Because they are present in the form of bundles of nanotubes due to Vander wall’s forces. both covalent functionalization of the carbon nanotube and noncovalent attachment were used to form strong interfacial bonding between nanotubes and the polymer matrix. In this research, ultrasonic process was used to disperse carbon nanotubes in solution. Also, Nonionic surfactant (polyethylene glycol, PEG) was added to decrease the agglomeration and improve the dispersion. In order to achieving interfacial bonding, we used SWCNTs modified with carboxylic groups. Fillers and additives may interact with solvent, with polymer or with both, and thus also have an effect on fibre diameter and morphology. Addition of CNTs was increased the viscosity and electrical conductivity of the electrospinning solution. These caused to increased fiber diameter compared to neat PAN nanofiber. In this research, coating of nanofibers on the core yarn by using of images of optical microscopy and image processing was investigated. coating of nanofibers on the staple acrylic yarn was well done. The Mechanical and electrical properties of core-sheath yarn was considered, too. The electrical resistance of the surface of the core-sheath yarn containing 15 wt % carboxylated single wall carbon nanotubes was decreased by 2.5 orders of magnitude. The Mechanical properties of core-sheath yarns were affected by mechanical properties of core component, because portion of core component is much more than sheath component in yarn. The core-sheath morphology provides a unique template to develop and improve technology. The process designed in this project could potentially lead to large scale production of nanofiber-reinforced planar and 3D fibrous structures such as woven fabrics. Also, confining the CNTs to the sheath of the yarn is advantageous because CNTs are still an expensive material.