The figure rose from 69.7% at the end of March this year.
According to the media regulator's Digital Television Progress Report, 17.7m households were watching digitally by the end of June 2006.
The report also reveals that the large majority of digital television receivers are now being bought for use on additional television sets within the home to complement digital viewing on the household's primary television.
The number of secondary television sets, ie those used in a spare room or a child's bedroom, viewed using digital receivers has more than doubled in the year to June 2006, from just under 3.5m to more than 7m.
Ofcom said that more than 40% of television sets in the UK are either connected to a digital set-top-box or have an integrated digital tuner, demonstrating that a substantial number of households are now going fully digital.
The report also showed that the three months to the end of June 2006 was the fourth consecutive quarter in which sales of digital television equipment, including either set-top-boxes or televisions with built-in DTT tuners, exceeded the 1m mark.
DTT sales, at 1.2m for the quarter, were up more than 70% on the same period in 2005.
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