Keep tuna on ice until ready to can. Remove viscera, wash fish well in cold water, and allow blood to drain from the stomach cavity.
For the precooked method, place fish belly down on a rack or metal tray in a large baking pan. Bake at 250°F for 2 1/2 to 4 hours depending on size, or at 350°F for 1 hour; alternatively steam 2 to 4 hours. If using a thermometer, cook to 165–175°F internal temperature. Refrigerate cooked fish overnight to firm the meat.
Remove skin, blood vessels, discolored flesh, bones, fin bases, and dark flesh as desired. Quarter and cut crosswise into lengths suitable for half-pint or pint jars.
Fill jars, pressing down gently for a solid pack. Pack in water or oil as preferred, leaving 1-inch headspace. Add 1/2 teaspoon salt per half-pint or 1 teaspoon per pint if desired.
Pressure process half-pints or pints for 100 minutes.
Dial gauge: 11/12/13/14 psi at 0–2,000/2,001–4,000/4,001–6,000/6,001–8,000 ft. Weighted gauge: 10 psi through 1,000 ft and 15 psi above 1,000 ft.