A method for manufacturing a carbon fiber-reinforced molded article by creating a prepreg that contains a composite material and a matrix resin and curing the prepreg, wherein - the composite material is produced by a) immersing a carbon fiber bundle containing a plurality of carbon fibers in a CNT dispersion in which the CNTs are isolated and dispersed, and b) making the carbon fiber bundle travel and causing the CNTs to adhere to the respective surfaces of the carbon fibers ; - the matrix resin is selected from thermosetting resins, such as unsaturated polyester resins, in particular epoxy resins, and thermoplastic resins, such as phenoxy resin and polyamide resin, polypropylene resin, polyphenylene sulfide resin, and polycarbonate resin; - the carbon fiber bundle is provided in such a manner that 3 to 30 carbon fibers are piled in the thickness direction; - in step b), a plurality of guide rollers is used for making the carbon fiber bundle travel in a CNT adhesion tank in which the dispersion is stored and mechanical energy is applied to the dispersion; - the guide rollers are flat rollers having a diameter D 0 of 50 mm and a length L 0 of 100 mm; - the carbon fiber bundle is firmly supported by the guide rollers and travels in the CNT adhesion tank at a traveling speed without contraction; - during the travel in the CNT adhesion tank , the carbon fiber bundle is not bent, so that the risk of the entanglement of the carbon fibers contained in the carbon fiber bundle with each other is reduced; and - when the carbon nanotubes are adhered to the respective surfaces of the carbon fibers , the plurality of continuous carbon fibers are subjected to tensile force while being supported by a guide roller which is a flat roller. - the composite material is produced by a) immersing a carbon fiber bundle containing a plurality of carbon fibers in a CNT dispersion in which the CNTs are isolated and dispersed, and b) making the carbon fiber bundle travel and causing the CNTs to adhere to the respective surfaces of the carbon fibers ; a) immersing a carbon fiber bundle containing a plurality of carbon fibers in a CNT dispersion in which the CNTs are isolated and dispersed, and b) making the carbon fiber bundle travel and causing the CNTs to adhere to the respective surfaces of the carbon fibers ; - the matrix resin is selected from thermosetting resins, such as unsaturated polyester resins, in particular epoxy resins, and thermoplastic resins, such as phenoxy resin and polyamide resin, polypropylene resin, polyphenylene sulfide resin, and polycarbonate resin; - the carbon fiber bundle is provided in such a manner that 3 to 30 carbon fibers are piled in the thickness direction; - in step b), a plurality of guide rollers is used for making the carbon fiber bundle travel in a CNT adhesion tank in which the dispersion is stored and mechanical energy is applied to the dispersion; - the guide rollers are flat rollers having a diameter D 0 of 50 mm and a length L 0 of 100 mm; - the carbon fiber bundle is firmly supported by the guide rollers and travels in the CNT adhesion tank at a traveling speed without contraction; - during the travel in the CNT adhesion tank , the carbon fiber bundle is not bent, so that the risk of the entanglement of the carbon fibers contained in the carbon fiber bundle with each other is reduced; and - when the carbon nanotubes are adhered to the respective surfaces of the carbon fibers , the plurality of continuous carbon fibers are subjected to tensile force while being supported by a guide roller which is a flat roller. <EOS>