In　this　paper,　we　obtain　moderate　deviations　of　random　sets　which　take　values　of　bounded　closed　convex　sets　on　the　underling　separable　Banach　space　with　respect　to　the　Hausdorff　distance　d　H　.　We　also　get　moderate　deviations　for　random　upper　semicontinuous　functions　whose　values　are　of　bounded　closed　convex　levels　on　the　underling　separable　Banach　space　in　the　sense　of　the　uniform　Hausdorff　distance　.　The　main　tool　is　the　work　of　Wu　on　the　moderate　deviations　for　empirical　processes　[15].　©　2011　Springer-Verlag　Berlin　Heidelberg.