Prepare your water bath canner by filling it with water. You just need to have enough water to cover the jars by 2 inches once the water is boiling.
Set the canner on the stove. Turn the burner to high.
Wash and sanitize your jars. You’ll want to keep them warm to avoid having them crack when placed in the canner. You can fill them with hot water, or place them on a tray in the oven at 170 degrees F.
Wash your lids and set aside in a clean bowl.
In a medium saucepan, combine orange juice and sugar. Bring to a boil.
Add the cranberries, and reduce the heat to medium. Allow it to cook until you start to hear the cranberries popping.
With a spoon or potato masher, smash down the cranberries until it reaches your desired texture.
Cook for 10 minutes, stirring often.
Remove from heat and stir in the orange zest.
Ladle the warm cranberry sauce into jars, leaving 1/2 inch of headspace. Remove any bubbles from the jar (I use a chopstick).
Use a wet clean rag and wipe the rim of the jars to make sure it is free of any food.
Place a clean lid on the jar. Add a ring, and tighten to fingertip tight.
Using canning tongs, place jars in the boiling water. Put the lid on the canner, and once the water is back to a rolling boil, process for 15 minutes.
When the 15 minutes are up, remove the canner from the heat, remove the lid and allow it to sit for 5 minutes.
Using the canning tongs, remove the jars and place them on a thick towel in a place where they won't be disturbed for 12 hours.
After 12 hours, check the seal on the jars by pressing down in the center of the lid. If there is any give, either refrigerate and use those jars in the next month or reprocess.