Once the filled jars are all in the canner, adjust the water level to be about 2 to 3 inches above the jar tops.
Cover the canner and bring it to a boil over high heat. Once the water boils vigorously, set your timer and process pints for 40 minutes and quarts for 50 minutes at altitudes of less than 1,000 ft. Adjust processing time for your altitude if necessary. (See notes)
When the processing time is complete, turn off the heat, remove the cover by tilting the lid away so that steam does not burn your face, and allow the canner to cool down and settle for 5 minutes.
Spread a dry kitchen towel on the counter. Use a jar lifter to remove the jars one at a time from the canner. Keep the jars upright, and place them on the towel. Do not tighten ring bands or test the seals yet. Let the jars sit undisturbed for 12 to 24 hours to cool.
After the jars have cooled for at least 12 hours, check to be sure the lids have sealed by pushing on the center of the cover. The lid should not pop up. If the top flexes up and down, it did not seal. Refrigerate the jar and use it within a week.
Remove the ring bands, wash, label, date the jars, and store the canned tomatoes in a cool, dark place between 50 to 70 degrees F for 12 to 18 months. Once the jar is open, refrigerate it and use it within a week. The recipe yields about 6 pints or 3 quarts, depending on the juiciness of your tomatoes.