To can a food safely in a water bath canner it must have a very acid ph, so only the most sour parts of a soup can be canned with the intent of eating it -- usually just pickles and the most acid of tomatoes are usually low ph enough to be safe to eat after water bath canning.
You will need to make the vegetable soup and then sterilize the jars. Fill the jars, leaving head space appropriate for your size jar. Get the air bubbles out. Bring the water to boiling and process the jars.