Add pumpkin puree, cinnamon, ginger, nutmeg and cloves into a small saucepan. Mix and cook over medium heat for about 1 minute to remove the raw pumpkin taste.
Add water and sugar to the saucepan. Bring to a boil, stirring occasionally to make sure the sugar dissolves and the pumpkin puree is blended in.
Remove from heat, and pour through a fine mesh strainer into an airtight container, like a glass jar or bottle. The strainer helps to remove any sediments from the pumpkin spice syrup, if needed.
Allow to cool, then seal and store i the refrigerator for up to 2 weeks.