Trinity Mirror titles and the Independent saw the highest jumps in web traffic during May according to the latest ABC web figures, while the Mail Online took the most traffic overall at 8.2 million hits.
The Guardian was Mail Online's closest competitor with half the amount of traffic at 4.6 million, although traffic had increased by 37 per cent.
However, Mirror Group Digital saw traffic growth of 62.2 per cent to 1.24 million while the Independent was up by an even higher 68.9 per cent, taking its traffic to just under Trinity's figures at 1.2 million.
Traffic was up for all the main national titles, with The Sun seeing a 16.4 per cent rise to 1.7 million, the Telegraph up by 12.7 per cent to 2.8 million and Metro traffic at 403,338, an increase of 15.7 per cent. Standard.co.uk was up by 34.6 per cent to 202,502.
The Telegraph traffic was up despite the requirement of a subscription for readers who wish to read more than 20 articles each month, while The Sun is preparing to go behind a paywall at the beginning of August.
A recent study by Oxford University's Reuters Institute Study of Journalism revealed twice as many people are willing to pay for online news content than a year ago.