The Independent on Sunday and The Observer have suffered by far the worst circulation falls for May, during which the Mail on Sunday was down 3.67% to 2,341,605, the Sunday Telegraph slid 2.62% to 664,672 and The Sunday Times fell 2.31% to 1,302,823.
There were marginal falls for the Sunday Mirror, down 0.57% to 1,449,654, and The People, which dropped 0.55% to 838,417, and the News of The World, down 1% to 3,515,850.
The Sunday Express is the only title to improve its circulation, with the title rising 2.52% to 809,253.
Many of the Sunday titles will now be banking on a World Cup sales boost to counter the effects of what could prove to be a long, lethargic summer for the Sunday nationals.
The daily market put in a steadier performance, with the mid-market and quality categories enjoying small circulation increases.
Richard Desmond enjoyed a good month, with his Daily Express up 1.53% to 845,234, while mid-market rival Daily Mail was up 0.81% to 2,390,324.
Desmond's Daily Star was the only red-top to register a higher circulation than April, rising 2.03% to 785,850.
The tabloid category was slightly down overall with the Daily Mirror falling 1.27% to 1,634,006, the lowest figure in its recent history. The Sun lost a smaller 0.19% ending up at 3,149,029.
The quality category was up slightly, led by The Guardian, up 1.76% to 381,188, followed by The Independent, up 1.7% to 257,226, and The Times, up 1.33% to 663,543.
The Telegraph added just 158 copies from April to register a circulation of 900,236. However, it added an extra 2,000 bulk copies to keep above that 900,000 level.
The Financial Times was down 2.4% to 451,153, wiping out a lot of its previous month's gains.
In London, the Evening Standard received a 8.29% boost from its redesign, climbing to 341,983.
The Sportsman registered 22,333 in its second month, up 2.36% from April, but still far short of its 40,000 target circulation. Its Trinity Mirror-owned rival The Racing Post fell 6.84% to 75,671.
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