The present invention provides a method of manufacturing an aromatic polyamide composite membrane comprising: coating an aqueous solution containing polyfunctional aromatic amine to a porous polymer substrate; and reacting the coated substrate with an organic solution containing polyfunctional aromatic acyl halide to lead to interfacial condensation polymerization between the polyfunctional aromatic amine and the polyfunctional aromatic acyl halide so that the reaction product resulting from the interfacial condensation polymerization is coated on the surface of the substrate, characterized in that either of the aqueous solution containing polyfunctional aromatic amine or the organic solution containing polyfunctional aromatic acyl halide has dendritic polymer as one of polyfunctional compounds added thereto. The resulting aromatic polyamide composite membrane which includes dendrimer as polyfunctional compound, exhibits high salt rejection rate and water flux.