A method for manufacturing the multi-walled carbon nanotube-g-poly(lactic acid), and the multi-walled carbon nanotube-g-poly(lactic acid) prepared by the method are provided to improve tensile modulus and tensile strength without using a solvent. A method for manufacturing the multi-walled carbon nanotube-g-poly(lactic acid) comprises the step of melt condensation polymerizing 0.1-50 wt% of multi-walled carbon nanotube-COOH and 50-99.9 wt% of lactic acid by using a catalyst. The multi-walled carbon nanotube-COOH has 1~5x10^22 carboxyl groups (-COOH) per 1 g of a multi-walled carbon nanotube. The multi-walled carbon nanotube-COOH is prepared by mixing a multi-walled carbon nanotube and a nitric acid/sulfuric acid (3M/1M) mixture solution.
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