Consumer groups have been outraged over the use of the finely-ground scraps, which used to only qualify for use in dog food and cooking oil.
Safeway says "consumer concern" sparked by news stories led to its decision, even though it still thinks the meat is safe and nutritious.
Last week, ABC News revealed that the cheap meat filler -- made of scraps of connective tissue -- was found in 70 percent of the ground beef sold at supermarkets and up to 25 percent of each American hamburger patty.
Since then, it's been a top search item on websites and on Twitter.
Several supermarket chains, including Publix and Whole Foods, have announced they would not sell beef with the ground scraps.
Although health officials don't say considered the ground beef dangerous, some health experts say it might harbor bacteria, such as E. coli or salmonella.
Safeway is the parent company of the Genuardi's stores in this area.
