In order to explore a cathode material with high electrochemical performance for lithium-sulfur batteries (LSBs), a novel core-shell structured tubular amorphous carbon@sulfur@polypyrrole (TAC@S@PPy) composite with a dual-conductive layer is synthesized by in-situ chemical precipitation and chemical oxidation polymerization, including a TAC conductive matrix layer, an intermediate sulfur layer, and an external PPy coating layer with a certain conductivity and adsorptivity for polysulfides. Compared to pure sulfur and TAC@S composite, the core-shell structured TAC@S@PPy composite exhibits a higher discharge specific capacity of 1111mAhg−1, and still maintains at 731mAhg−1 after 100cycles at a current density of 335mAg−1. Whereas, TAC@S composite and pure sulfur only retain 472 and 224mAhg−1 after 100cycles at the same current density, respectively. Therefore, these results indicate that the core-shell structured TAC@S@PPy composite with a dual-conductive layer would be a promising cathode for LSBs.