The decision, confirmed in details of the coalition agreement announced today, will anger airport operator BAA and London businesses.
But the news that expansion of the airport, which also included a sixth terminal, was being abandoned will delight residents groups, conservationists and local councils around the west London airport.
The coalition agreement also confirmed today that the new Government will rule out any extra runways at Stansted and Gatwick airports as well.
Heathrow operator BAA, supported by airlines and commerce in the capital, had long argued for a third runway.
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