A scheme for the coupling of a ligand onto a porous membrane was selected based on criteria of permeability of liquid and adsorptivity of protein. Two precursor monomers, i.e., acrylic acid (AAc) and glycidyl methacrylate (GMA), were grafted onto a porous polyethylene hollow fibre by radiation-induced graft polymerization. The carboxyl group of the AAc-grafted hollow fibre was reacted with N-hydroxysuccinimide to produce a succinimide group as an activated group. The resultant hollow fibre had a significantly lower liquid flux than the original hollow fibre, whereas the GMA-grafted hollow fibre retained its original level of liquid permeability when the epoxy group as the activated group was introduced at a sufficiently high density.