The advantage of canning asparagus rather than freezing asparagus (which preserves the texture better) is that you can store the sealed jars at room temperature. That means that if the power goes out you needn't worry about whether or not your preserved asparagus is still good.
Canned asparagus has a softer texture than freshly cooked does. It is excellent in pureed asparagus soup, or added to quiches or omelets.
Prep the Asparagus
Wash the asparagus.
Hold a spear at either end and bend it. It will break at exactly the point where the stalk changes from tough to tender. The base end, without the scale-like leaves and pointed tip, is the tough part. You won't be canning that, but don't throw it out! Peeled, it is still an excellent vegetable and fine for making asparagus soup.
Once you've snapped all of the asparagus spears and have a heap of the tender ends, trim as necessary so that none of them are longer than 6 inches.
Load the Jars
Lay a clean quart-size canning jar on its side. Slide in the asparagus spears with the wide base end towards the bottom of the jar. It is easier to get the spears to line up straight if you load the jar sideways like this, and that enables you to fit more asparagus into each jar. Keep adding spears until you can't squeeze even one more in: the spears will shrink slightly during processing, and packing them tightly ensures they won't float up out of the canning liquid.
You can add 1 teaspoon salt to each quart jar. Note that the salt is not a preserving factor here, but it does improve the taste of the final product.
Add the Canning Liquid
Bring water to a boil. Pour the boiling water into the jars to cover the asparagus. The asparagus spears should be fully immersed in the water, but there needs to be at least 1 inch of space between the surface of the liquid and the rims of the jars.
Pressure Can the Jars of Asparagus
Process the jars at 10 pounds pressure for 40 minutes. If you want a shorter processing time, you can cut your asparagus spears shorter and pressure can them in pint instead of quart jars for just 30 minutes.