Studies on multi-stage grafting or simultaneous co-grafting of acrylic acid and vinyl pyrrolidone onto polyethylene have been carried out in an attempt to introduce different functional groups into polymers in some ordered states. In the multi-stage grafting, time conversion curves of grafting and graft percent of the second stage depend on the order of monomer to be grafted, and on graft percent of the first-stage grafting. In simultaneous co-grafting, time conversion curves of grafting reaction and graft percent of each monomer depend on monomer ratio in the solution. Effect of graft percent on electric resistance across the grafted film was also found to depend on the mode of multi-stage grafting or simultaneous co-grafting. Results of some trial experiments to establish the grafting conditions are also described. (author).