Method of canning without pressure canner?
Without a canner you are limited to canning high-acid foods.

Botulism spores don't die at 212F, the boiling point of water. A pressure canner boiling water at 15PSI raises the boiling point to 250F or so which will kill the spores.

The bacterium cannot grow in a high acid environment and so high-acid foods such as fruit and pickles do not need to be processed in a pressure canner. Look for recipes for such foods. As use2199 said they will involve boiling the jars for a while to kill things.

An excellent resource is the Ball Blue Book that can often be found near the canning supplies in grocery stores. It always calls for Ball products of course but it has a ton of good canning recipes and instructions.

Don't experiment. Botulism is not a fun thing. Your lips get tingly and then you die shortly aftwards.