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Literature review shows that GSS generally fails toincrease group consensus and satisfaction. The reasonsfor this failure are not fully known. This researchinvestigated this issue from an influence processperspective. The independent variables were support(computer support versus non-computer support,) andtask type (intellective task versus preference task). Thedependent variables were three influence processvariables (informational influence, normative influence,and influence distribution) and three outcome variables(consensus, decision satisfaction, and decision processsatisfaction). The findings suggest that the failure, frominfluence process perspective, may be attributed to the"offset effect of GSS". In preference task, the increasedpart of group consensus and satisfaction, due to thatGSS increased influence distribution balance, wereoffset at the same time by the decreased part, due to thatGSS attenuated normative influence. Likewise, inintellective task, the increased part of consensus andsatisfaction, due to that GSS enhanced informationalinfluence, were offset at the same time by the decreasedpart, due to that GSS decreased influence distributionbalance. The implications for the offset effect isdiscussed.