Booker Group saw non-tobacco sales rise 15.5% in the 12 weeks to 9 September.
Group sales, including Budgens and Londis, rose by 15.2% on the same period last year.
The group said both the catering and retail sides of the business “performed well”.
Chief executive Charles Wilson said: “Booker Group continues to make good progress with sales in the quarter up 15.2%. Our plans to Focus, Drive and Broaden Booker Group are on track. Budgens and Londis joined the Group last September and are making a solid contribution. We continue to help our retail, catering and small business customers prosper through improving our choice, prices and service.”