The invention provides a closed-selvedge fabric weaving method of a rapier loom, which can lower the labor intensity and improve the production efficiency. A heating fuse used as a selvedge warp is weaved into the selvedge, the heating fuse can be molten after the selvedge is subject to hot stamping by a hot roll and can bond the selvedge wefts and warps together to from a thin sheet, and the thin sheet can be shorn by scissors to form a closed selvedge after being cooled. By using the hot selvedge fusing technology, the method provided by the invention achieves the purpose of replacing the shuttle loom with the rapier loom, thereby improving the quality of products, lowering the labor intensity and obtaining better economic benefits.