In a pot, bring the water to a boil. Place the steamer basket in the pot and close the lid.
Trim the end of the artichoke and use scissors to snip off the sharp edges of the leaves. Trim the stem of the artichoke off so that it is flush to where the leaves start.
Rub a lemon wedge on the exposed artichoke flesh to prevent the artichoke from getting discolored while cooking.
Place the artichoke leaves side up in the steamer basket and steam for 20 minutes. If steaming two artichokes, increase time to 25 minutes.
Remove, and serve with dips of your choice.