During July, it increased its average total circulation by 21 per cent compared with the previous year to 262,086, the highest total sale of the paper since October 1997.
It achieved this despite July generally being a quiet month for newspaper sales. The Times, also available in a compact edition, was up 2.8 per cent year on year to 650,448.
Other quality titles fared less well. The Guardian lost close to 12,000 sales year on year to post a total circulation of 371,129, while The Daily Telegraph's total circulation hovered above the 900,000 mark at 904,981, down 1.9 per cent year on year.
The tabloid market took a battering, with The Sun losing 4 per cent of its sales year on year - its July circulation was 3,378,206. The Daily Mirror fell 7 per cent to 1,816,908. However, the Daily Star was up by 1 per cent to 919,103.
Among the Sunday papers, the mid-market titles The Mail on Sunday and Sunday Express performed solidly but the redtops were hit, with the News of the World and Sunday Mirror both down by 4 per cent. The Sunday Times lost 18,000 readers with a total circulation of 1,304,600.
Terry Grote, the managing director of The Independent, said the title would continue to innovate. "We're heartened that circulation continues to grow and further improvements and developments can be expected," he said.