In a large stock pot, combine cranberries, strawberries, blueberries, orange juice, orange zest, spices and sugar.
Set the pot over medium-high heat. Stir frequently as the mixture comes to a boil and the berries begin to soften and release their juices.
When the berries have cooked down and are bursting, use a potato masher for a chunkier texture or an immersion blender for a smoother jam.
Continue boiling the jam for about 5 minutes, stirring often to prevent sticking or scorching.
Ladle the hot jam into prepared (washed and dried) canning jars, leaving about 1/2 inch of headspace at the top.
Wipe jar rims clean with a damp cloth. Place lids on the jars and screw rings on until fingertip tight.
Process the jars in a steam canner or boiling water bath for 10 minutes, starting the timer once the water is at a full boil.
Carefully remove jars and let them cool completely on a towel-lined counter. Once cool, check that each lid has sealed. Any unsealed jars should be refrigerated and enjoyed within 14 days, or reprocessed with new lids within 24 hours.