"As a company, we experienced two horrific events in one week, and we will never be the same". The latest move will leave it focused on weapons for hunting, including deer rifles, shotguns and related ammunition.
A Walmart spokesman did not immediately respond to a question about what stores would do if a customer defied the company's request not to openly carry a gun.
After the shootings in El Paso and Dayton, numerous Democratic Party presidential candidates called on Walmart to stop selling guns.
The company will discontinue sales of short-barrel rifle ammunition such as.223 caliber and other sizes that can be used on assault-style weapons once it has sold through its current inventory commitments, it said in a statement to employees. "These incidents are concerning and we would like to avoid them, so we are respectfully requesting that customers no longer openly carry firearms into our stores or Sam's Clubs in states where "open carry" is permitted - unless they are authorized law enforcement officers".
The largest US arms retailer, which has been under pressure to change its policies on gun sales, also said it would discontinue handgun sales in Alaska, the only state where it still sells these guns.
Walmart announced in February 2018 that it would no longer sell firearms and ammunition to people younger than 21 and also removed items resembling assault-style rifles from its website.
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He went on to write that "It's clear to us that the status quo is unacceptable". Walmart is trying to walk a fine line by trying to embrace its hunting heritage while being a more responsible retailer.
The company's latest measures come after a man with an assault rifle killed 22 people at a Walmart in El Paso, Texas, on August 3, just days after a Walmart employee in Southaven, Miss., fatally shot two co-workers.
"We believe the opportunity for someone to misinterpret a situation, even in open carry states, could lead to tragic results", McMillon said in a memo distributed to employees on Tuesday.
The move will reduce the nation's largest retailer from around 20% of the market share to between 6% to 9%, according to internal estimates.
Mr. McMillon said he would send letters to the White House and the Congressional leadership, urging the government to strengthen background checks and to remove weapons from those who could pose an imminent danger. The company said Tuesday that it would explore sharing its proprietary gun-sales technology platform with other retailers. Walmart also stopped selling handguns in every state but Alaska in the mid-1990s and only sells a firearm to customers after receiving a "green light" on a background check. "We know these decisions will inconvenience some of our customers, and we hope they will understand".