The bill is now headed down the hall to the Senate for consideration.
The proposal allows the state to offer a state lottery or join a multi-state lottery, such as the Powerball. Proceeds would go to local cities, towns and counties.
Proponents say Wyoming residents are spending a lot of money buying lottery tickets in other states that have lotteries. They say that is money that could stay in Wyoming if the state offered a lottery.
Colorado’s top retailer for the Powerball game is just 9 miles south of Cheyenne on the border with Wyoming.
Opponents say lotteries are a form of gambling and tax that would most hurt the poorest citizens who play the game.