Group decision for multiobjective system is an interesting field, but it is also hard tofind a way to give a general solution for a multiobjective group decision problem. Thereforeparticular solution is tried for fitting each special problem. In this paper, the fuzzy decisiontheory for multiobjective systems is extended to group decision problems and a series of criteriaof fuzzy group decision for multiobjective systems is established. An example shows itsavailability to this kind of problems.