The newspaper said that Green's retail chains, which include Topshop, Miss Selfridge and Dorothy Perkins, had 11.1% market share by value for the year to March 2. This was up from 10.1% the previous year. M&S had share of just under 12% for the period, flat against the previous year.
The launch of Green's Topshop tie up with supermodel Kate Moss helped to boost sales and draw in more shoppers to Green's chains last year and the entrepreneur also kicked off a refurbishment programme of his Bhs chain during the year.
However Green appeared to play down the significance of the figures, telling The Mail on Sunday that data may have reflected modest growth in the market last year. He said: "I've not noticed sales going up that much, but other people may be down...The market is pretty tough at the moment."