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The firm now holds 17 per cent of the market, following a 702 per cent jump in adjusted sales during the three-month period.
Unadjusted sales, which do not factor in the Easter period and fuel transactions, were up 7.9 per cent.
Chief financial officer at Asda Judith McKenna said that the results "demonstrate the ongoing health of our business", a comment that may be welcomed by investors trading on the stock market.
She added: "By continuing to be the lowest price retailer and by broadening our appeal, we're attracting more customers and increasing our sales volumes."
Ms McKenna warned that consumers are still being cautious with their spending due to the economic downturn, but said that Asda is in a strong position to continue growth.
Wal-Mart, Asda's parent company, saw its shares climb by 2.71 per cent to $51.88 (£31.30) at the close of trading in New York yesterday.
