Global eradication of poliomyelitis can be achieved by a programme strategy that includes achievement and maintenance of high immunization levels, effective surveillance to detect all new cases, and a rapid vigorous response to the occurrence of new cases. Regional eradication targets have already been set in Europe and the Americas. Possible impediments to eradication include the necessity to generate political and social will; managerial constraints; issues of vaccine efficacy, stability, and cost; and adequacy of surveillance. We believe that the impediments can be overcome and that with intensified effort and increased international collaboration, global eradication could be achieved as early as 1995.