In　this　paper,　we　firstly　introduce　the　definition　of　the　fuzzy　metric　of　sets,　and　discuss　the　properties　of　fuzzy　metric　induced　by　the　Hausdorff　metric.　Then　we　prove　the　limit　theorems　for　set-valued　random　variables　in　fuzzy　metric　space;　the　convergence　is　about　fuzzy　metric　induced　by　the　Hausdorff　metric.　The　work　is　an　extension　from　the　classical　results　for　set-valued　random　variables　to　fuzzy　metric　space.