Heat oven to 350 F. Melt butter and set aside.
Cut entire pack of rolls in half horizontally, keeping all top and bottom halves intact.
In 9-by-13-inch pan, place bottom halves of rolls and cover with ham and cheese.
Cover ham and cheese stacks with top halves of rolls. Drizzle butter mixture over tops of rolls.
Bake, uncovered, 15-20 minutes. Separate rolls for serving.