The website for the Daily Mail had an 8 per cent increase in unique browsers month-on-month, taking it from 97.95 million in July to 105.72 million in August.
The Mail Online topped the list of year-on-year increases, with a rise of 41.11 per cent.
In January it was reported that, according to comScore, the Mail Online had overtaken the New York Times as the world's most visited English-language newspaper site.
The Independent's website had the biggest month-on-month increase of 20.47 per cent for August, with the site experiencing a year-on-year increase in unique users of nearly 31 per cent.
Figures released today by the Audit Bureau of Circulation show all news sites that it audits and reports web traffic for on a monthly basis experienced an increase in readers in August, the month of the Olympics.
Traffic to the Sun's site was up by 13.24 per cent month-on-month, the Telegraph's traffic was up by 4.06 per cent, Metro's increased by 2.98 per cent, figures for Mirror Group Digital show a 1.1 per cent traffic rise, and the Evening Standard experienced a slight increase, with traffic up by 0.42 per cent.
ABC reports a 31.73 per cent year-on-year increase for the Telegraph, with an August online readership of nearly 54 million. A release from the Telegraph states that "coverage of the Olympics closing ceremony pushed traffic to a daily record high".
"Over the two-week period of the Olympics, visits to Telegraph Sport increased by 270 per cent from the same period a year earlier," the release states.
The Independent, with a 30.96 per cent year-on-year increase, had nearly 20 million readers to its website in August.
Monthly web figures were not available in August for the Guardian, The Times or the Financial Times.
NRS last week reported combined readership figures for print and online for the first time, which found the Sun to have the highest combined readership across UK national daily newspapers.
Correction: This article originally said that "according to Omniture, Mail Online had overtaken the New York Times as the world's most visited English-language news site". We have amended this to "comScore" and English-language "newspaper" site