Iminodiacetic acid (IDA) and tris(2‐aminoethyl)amine (TREN) chelating ligands were immobilized on poly(ethylene vinyl alcohol) (PEVA) hollow‐fiber membranes after activation with epichlorohydrin or butanediol diglycidyl ether (bisoxirane). The affinity membranes complexed with Cu(II) were evaluated for adsorption of human immunoglobulin G (IgG). The effects of matrix activation and buffer system on adsorption of IgG were studied. Isotherms of batch IgG adsorption onto finely cut membranes showed that neither of the chelates, IDA‐Cu(II) or TREN‐Cu(II), had a Langmuirean behavior with negative cooperativity for IgG binding. A comparison of equilibrium and dynamic maximum capacities showed that the dynamic capacity for a mini‐cartridge in a cross‐flow filtration mode (52.5 and 298.4 mg g−1 dry weight for PEVA‐TREN‐Cu(II) and PEVA‐IDA‐Cu(II), respectively) was somewhat higher than the equilibrium capacity (9.2 and 73.3 mg g−1 dry weight for PEVA‐TREN‐Cu(II) and PEVA‐IDA‐Cu(II), respectively). When mini‐cartridges were used, the dynamic adsorption capacity of IDA‐Cu(II) was the same for both mini‐cartridge and agarose gel. Copyright © 2013 John Wiley & Sons, Ltd.