The third largest supermarket grew its share by 5.5% to 16%, beating the total market growth of 4%, while Asda’s growth was well below at 2.6% for the 12 weeks to 6th September.
Sainsbury’s has now grown market share ahead of the market for 19 successive quarters.
Although it retains its number two spot, Walmart-owned Asda’s market share dropped from 17.4% to 17.2% compared to the same period last year.
Tesco’s growth was in line with the market and it retains its number one market share position with 30.8% of the total market.
Morrisons recorded the largest market share grab of the big four, growing 5.9% over the period compared to last year.
The latest figures reflect the continuing trend of UK consumers demanding freshness and quality at affordable prices, according to a Kantar Worldpanel spokesman.
Waitrose has also benefited from this trend growing by 9.3% to achieve a 4/1% total market share.
Meanwhile discounters continue to underperform with only Lidl recording a slight increase in market share this month. Netto shed 6% of its share compared to last year.