In a saucepan, combine the water and sugar over medium heat. Stir until the sugar dissolves completely.
Add the cinnamon sticks, ground ginger, cloves, and ground nutmeg to the mixture.
Allow the mixture to come to a gentle simmer, stirring occasionally. Let it simmer for about 10-15 minutes, allowing the spices to infuse their flavors into the syrup.
Remove the saucepan from heat and let the syrup cool. Once it has cooled, strain out the spices and cinnamon sticks, leaving you with a flavorful pumpkin syrup.