Preheat oven to 350. Line a baking sheet with parchment paper: set aside.
Wrap each string cheese stick in 2 slices of ham, being sure to secure ends.
Unroll phyllo dough. Brush 1 sheet evenly with melted butter. Top with a second sheet of phyllo, brushing evenly with butter. Roll prepared cheese in butter phyllo sheets, being sure to secure tightly.
Brush tops and sides with melted butter. Tear 1 phyllo sheet into strips, and layer strips onto buttered sticks. Repeat procedure with remaining prepared cheese stick, ham, phyllo, and butter.
Place on prepared baking sheet, and bake for 20 minutes, or until lightly browned.