Preheat grill to medium heat.
Cut the peaches in half and remove the pits. (Quarter larger pieces.)
In a small bowl, mix together the honey, melted butter, and cinnamon.
Brush the cut side of each peach half with the honey and butter mixture.
Place the peaches cut side down on the preheated grill.
Grill the peaches for 3-4 minutes, or until they have grill marks and are slightly softened.
Carefully flip the peaches over and grill for an additional 2-3 minutes.
Remove the peaches from the grill and place on platter or individual serving dishes.
Serve as is, or with dollops of Chantilly cream, a scoop of vanilla ice cream and/or warm carmel sauce.
Enjoy!