A method for making a composite polyamide membrane including a porous support and a thin film polyamide layer including the steps of applying a polyfunctional amine monomer and a combination amine-reactive compounds to a surface of the porous support and reacting the constituents to form a thin film polyamide layer, wherein the amine-reactive compounds include: i) a polyfunctional amine-reactive monomer including two to three amine-reactive moieties selected from acyl halide, sulfonyl halide and anhydride, ii) a polyfunctional amine-reactive monomer including at least four amine-reactive moieties selected from acyl halide, sulfonyl halide and anhydride, and iii) an acid compound including at least on carboxylic acid moiety or salt thereof and at least one amine-reactive moiety selected from acyl halide and sulfonyl halide.