The 75-44 vote Friday sent the measure to the Senate.
The measure will require those producers to include a disclaimer on their labels after Jan. 1, 2011.
It must say the federal government has found no substantial difference between milk from cows that have been given hormones to boost their production and cows that have not.
And starting July 1, producers will have to be able to document hormone-free claims for the state Department of Agriculture.
Supporters say the bill prevents consumers from being misled into thinking the cow hormones are dangerous. Critics say it unfairly hurts small dairies trying to find a market niche.
(Copyright 2009 by The Associated Press. All Rights Reserved.)