The relatives of Walton, currently the richest family in the world, have added more than $ 11 billion to their total state, which now stands at $ 163 billion, according to CNBC.
This strengthened Walton's leading position in the rankings of the richest families with at least $ 64 billion for the Koch brothers and the Mars family.
Growth in wealth comes amid better financial results for their company, making WalMart shares more expensive.
2018 is one of the best for the Walton family. In May she was at the top of the Sunday Times for the current year, with their total wealth greater than that of Jeff Bezos, Bill Gates and Warren Buffett.
Two weeks ago, their WalMart company took the lead for the sixth consecutive year and the 14th overall for the Fortune 500. With a total revenue of $ 500.3 billion, the retail chain is led by revenues from all US companies.
Walmart falls for the 24th time in the Fortune 500 since the first rating of the 1955 edition, with more than half of the performances at the top.
The second position today is taken by Exxon Mobil with a turnover of 244 billion dollars.
Recent Bloomberg data show that Jim and Rob Walton own $ 46.7 billion and $ 46.4 billion, while Alice has $ 45 billion.
The three hold more than 50% of the Walmart shares today.
Among other relatives are the world's 500 richest men Lucas Walton with $ 16.2 billion and Christie Walton with $ 7.4 billion.