Prepare the pressure canner, lids, and jars. Fill the canner with a few inches of water, based on manufacturer instructions. Put the canner on the stove over low heat with the jars inside.
In a large stockpot, combine the vegetables, beef, water, broth, and spices. Bring to a boil, then simmer for 10 minutes.
Take the stockpot off the heat, then divide the mixture among the jars. Load the solids first, then add the liquid, leaving 1" of headspace.
Remove air bubbles, then double check the headspace. Add more broth or boiling water if needed. Wipe the rims of the jars with a clean cloth to remove food particles. Place the bands and lids on the jars, tighten until they are fingertip tight, then load into the canner.
Process the jars for 75 minutes (for pints) or 90 minutes (for quarts) at 10 lbs pressure, adjusting for altitude.
Let the canner depressurize on its own once the canning time has elapsed. Remove the jars and let them cool for 12 hours.
Check the seals and store for up to 12 months.