This is a positive result for Times Online, suggesting its £10m relaunch in March this year is continuing to attract new visitors.
The Sun's website reported 9m unique users for the month, including traffic to thesun.co.uk, newsoftheworld.co.uk and page3.com, which was the same as the figure it posted in May.
Despite the relaunch of its front page in May, visits to dropped by around 1.5m unique users during June to 14.5m users, compared with the 16.1m unique users it recorded the month before. The Guardian plans to roll out its new look to the rest of the site gradually.
also failed to report any significant increases in traffic for June. It reported 7.1m unique users, own from 7.3m the month before.
The ABCe figures provide a common benchmark for web traffic, based on reporting standards; companies engaged by publishers to measure their figures, such as Hitwise and Web Side Story, must adhere to this.