Instructions
Use a humidifier in the area, or use the bounce house on a wet day. Humidity cuts down on static buildup, so the wetter the day, the less static electricity you'll have to deal with.
Wipe down the surface of the bounce house with a product designed to eliminate static charge. Purchase these products at department stores or a party-supply store. For a cheap fix, try something like a spray-duster. Be aware that these products might make the bounce house more slippery.
Go barefoot. Have children take off their socks before going in the bounce house. Stockings are more likely to create a static charge, and they are also slippery.
Spray down the outside of the bounce house with water, and, if you can, wet the grass beneath it before setting it up. Do not get water on any of the electronic equipment that goes along with the bounce house.