PURPOSE: To provide a polymeric porous hollow fiber membrane which exhibits excellent fractionation performance and excellent permeability in treatment of a variety of aqueous fluids and also shows sufficient strength when incorporated into a module or used to treat a fluid, and which is excellent in aging stability in these performances and characteristics and is also excellent in membrane performance recoverability by washing, and which is especially suitable for treatment of a polyphenol-containing beverage and is expected to effectively harmonize the flavor of such a beverage.SOLUTION: A polymeric porous hollow fiber membrane of the present invention is characterized in that(a) the hollow fiber membrane has skin layers on its inner and outer surfaces(b) the diameters of the pores in the inner surface are smaller than the diameters of the pores in the outer surface(c) the porosity tends to increase from the inner surface toward the outer surface, and then tends to decrease from at least one portion having a maximum porosity, of the wall section of the membrane, toward the outer surface and(d) the hollow fiber membrane satisfies a relationship of 2 [%] ≤ DR ≤ 20 [%], wherein the critical diameter of a fine particle to be removed, found by a fine particle-passing test, is φmax [µm] the diameter of the pores in the inner surface is dIS [µm] and the proportion of the pores with dIS exceeding φmax is DR [%].This polymeric porous hollow fiber membrane is alsocharacterized in that the adsorption of polyphenol per a surface area of 1 m2 defined by the inner and outer surfaces of the membrane is from 50 to 500 mg.
