This study explores the relationship between certain task characteristics and group effectiveness variables. The task characteristic variables were autonomy, skill variety, task structure, task identity, problem demands in terms of time, task difficulty, work schedule, quality assurance, performance rating and task significance. Group effectiveness was conceptualized in terms of group cohesiveness, group goal accomplishment, group growth level and special recognition. Factor analysis and canonical correlations were sought to answer the research questions. Factor-analysis results revealed the underlying dimensions of the variables under study. Canonical correlations revealed that a positive significant relationship existed between the two sets of variables.