In a small saucepan, combine cinnamon sticks, water and sugar. Stir and bring to a boil over medium-high heat.

Once boiling, remove from heat and let steep for 20 minutes.

Cool completely before making the punch.

In a large punch bowl or beverage dispenser, stir together spiced rum, spiced syrup, orange juice, lemon juice, sliced orange and sliced lime.

Fill with ice and serve chilled.