N,N-Dimethylaminopropylacrylamide methyl chloride quaternary（DMAPAA-Q）was graft-polymerized onto a commercially available nylon fiber in various solvents by radiation-induced graft polymerization in order to prepare a strong basic anion-exchange fiber. Primary alcohol such as 1-butanol as a solvent enhanced the grafting of DMAPAA-Q. An anion-exchange fiber with a degree of grafting of 78 ％, i.e., an anion-exchange density of 2.1 mmol/g-dry, was obtainable. The anion-exchange fiber exhibited a chemical stability for immersion in 1 M NaOH for 3 h at 40 ℃.