Fill the water bath and bring to a boil.
Wash all the jars, lids, and bands in hot soapy water.
Pour the cranberries, juice of the oranges, zest of the oranges, cinnamon sticks, nutmeg and water into a large stockpot and bring to a simmer.
Simmer for 20-30 minutes or until the cranberries start popping and begin to soften.
Mash the cranberries in the pot, being mindful not to smash the cinnamon sticks.
Mix in the sugar, stir, and simmer for 5 minutes to thicken the jam. Remove the cinnamon sticks.
Using the food funnel, fill each jar, leaving 1/2 inch headspace at the top of the jars.
Run the bubble popper through to remove any trapped air. Adjust head space if needed.
Wipe the rims of the jars with a clean damp towel, place the lids on the jars and tighten the bands fingertip tight.
Place the jars into the water bath, cover, and process for 10 minutes. (adjust for altitude if necessary)
Turn off the water bath, remove the cover, and allow to rest in the water bath for 5 additional minutes.
Remove the jars with the jar lifter to a towel lined cutting board and allow to rest for at least 12 hours before labeling, dating, and storing. If any jars did not seal, refrigerate and use first.