Nanotubes have great potential for applications in a rapidly increasing range of fields: catalysis, medicine, pharmacy, pheromone-release systems for crop protection, sensorics, and photonics. This is due to their high anisotropy, huge specific surface area that enhances reactivity, high rate of adsorption, and efficiency of transport processes both within and across the nanotube walls. Electrospinning is a process that produces continuous polymer fibers through the action of an external electric field imposed on a polymer solution (for a review of this process see previous publications). To manufacture nanotubes, two fundamentally different approaches have been reported: self-assembly and template-based methods. In the TUFT (tubes by fiber templates) process, electrospun nanofibers themselves are used as templates to produce nanotubes. The template-based TUFT process for nanotube production consists of three stages: i) the electrospinning of template nanofibers, ii) shell deposition via chemical or physical vapor deposition (CVD or PVD, respectively), and iii) core removal by thermal or chemical means. Recently, a new technique was introduced that allows the co-electrospinning of polymer solutions from a spinneret containing two coaxial capillaries. Using this technique, coelectrospinning of immiscible and miscible pairs of polymer solutions produced nanofibers with core/shell structures. This technique was then used to co-electrospin conjugated polymer nanofibers and to make the PCL/gelatin (PCL: poly(e-caprolactone)) core/shell structure that holds great potential for controlled drug delivery and as a scaffold for tissue engineering. It was possible to co-electrospin almost non-spinnable polymers such as the conducting polymer polyaniline (PAni). Using this same co-electrospinning technique, ceramic sol–gel precursors were added to the shell solutions to create ceramic nanotubes. The core material—a heavy mineral oil—was later extracted with octane. The aim of the present work is to produce hollow carbon nanotubes by co-electrospinning two polymer solutions. The process was carried out in two stages. In the first stage, use was made of the non-solvent effect on one of the polymers to facilitate the creation of a solid interface between the nanofiber’s core and shell. In the second stage, the nanofibers were subjected to heat treatment to degrade the core polymer and carbonize the polymer shell. Figure 1 shows a typical pattern of the co-electrospinning process close to the core/shell spinneret. The core-polymer capillary protrudes 0.3 to 1 mm below the shell capillary. As