Luckily Fran, there's no such thing as Honda water, (or special Japanese water - although they did come out with a [http://www.reuters.com/news/video?videoId=84561|car fueled only by water], which is very cool).
There's only regular water. :) You can use either normal tap water out of a faucet, or distilled (purified / bottled) water in your car battery or radiator. Distilled water is a bit better for your battery, but either will work.
For reference, see [http://www.ehow.com/facts_5037648_can-car-battery-tap-water.html|this article].