Prepare a water bath canner and canning jars before beginning.
Prepare a canning liquid of your choice. I'd suggest extra light syrup (measurements in notes below), but grape juice is also a good option. Plain water is fine too. Bring the liquid to a boil and keep it hot.
Wash and stem grapes. Bring a saucepan full of water to a boil on the stove and blanch grapes for 30 to 60 seconds. Remove with a slotted spoon and load into canning jars, leaving 1-inch headspace.
Pour boiling canning liquid over the grapes, maintaining 1-inch headspace.
Process in a water bath canner for 10 minutes (for altitudes below 1,000 feet) for half-pint, pint, and quart jar sizes. Higher altitudes and raw packs require different processing times, see notes.
Remove from the canner and allow the jars to cool completely before checking seals. Store unsealed jars in the refrigerator for immediate use. Sealed jars will maintain quality on the pantry shelf for 12-18 months. Refrigerate after opening.