Ed Richards, Ofcom's chief executive, said: "Our report highlights a closing of the geographical digital divide in the UK. Rural households are today as well connected to broadband as their urban neighbours."
The report also reveals big differences in take-up of modern communications across the UK.
Sunderland appears to be the UK's most connected city, with 66% of households having broadband and 96% using digital television. Glasgow has the lowest take-up of broadband in the UK at 32%.
Ofcom could not explain why Sunderland was at the top of the broadband league but said Glasgow's position probably reflected low levels of household income and computer ownership.
By contrast, in the Highlands and Islands, 62% of homes have broadband, and Aberdeen, Edinburgh and Dundee are all well ahead of the UK average.
There has been a major drive to bring broadband to every corner of Scotland, partly to sustain the economies of isolated communities where many residents can now work from home.
Who would have thought that Sunderland would be Britain's most connected city?
Ofcom's report also shows just how rapidly new mobile technology is changing Britain. About 20% of UK households now rely solely on a mobile phone, and in Greater Manchester 28% of homes use a mobile but have no fixed line telephone.
And 3G phones are also taking off rapidly. Dundee is the city with the highest levels of 3G phone use, with nearly three in 10 people using one. Ofcom also provides evidence that the mobile internet is now beginning to take off.
One in five UK adults has surfed the web on the move, but use is highest in London and Birmingham. In Devon and Cornwall, where 3g phone coverage is pretty sparse, just 7% of people have used the mobile internet.
Large numbers are also watching TV or video online, with a national rate of 30%, but again there are big regional variations. In London, 40% have tried services like the BBC iPlayer, while the figure in Greater Manchester is just 16%.
One more fact from the thousands sprinkled across this comprehensive survey of media habits across the UK - there are now 14,000 Wikipedia articles in Welsh, more than twice as many as the number in Gaelic. Which is not a bad effort, considering that Wales has a lower rate of broadband take-up than the rest of the UK.
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