It could increase potential GDP (Gross Domestic Product) by 0.43% by 2050, a Frontier Economics study found, she said.
Ms Reeves said an expansion could create more than 100,000 jobs.
The announcement has been welcomed by some business groups but anger by London’s Labour mayor Sadiq Khan, the Lib Dems, the Green Party and environmental groups.
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As part of a speech on funding infrastructure across the UK to promote growth, Ms Reeves said: “Persistent delays have caused doubts about our seriousness towards improving our economic prospects.”
She added that business groups like the Confederation of British Industry (CBI), the Federation of Small Businesses (FSB) and the Chambers of Commerce (BCC), as well as trade unions “are clear – a third runway is badly needed”.
Ms Reeves said the UK is “already making great strides in transitioning to cleaner and greener aviation” and announced the government is investing £63m over the next year into the Advanced Fuel Fund grant programme to support the development of sustainable aviation fuel production plants.
The government will be accepting proposals until the summer and will then carry out a “full assessment” through the Airport National Policy Statement to “ensure a third runway is delivered in line with our legal, environmental and climate objectives”.
Ms Reeves said the government expects any associated surface transport costs to the third runway’s construction will be financed through private funding.
However, he said last week he would not resign if the government approved a third runway despite threatening to resign from Gordon Brown’s cabinet as climate change secretary in 2009 over the plans and in 2018 he said an expansion was “very likely” to make air pollution worse.
He has now said the government can meet both its growth and net zero missions together.
Labour Mayor of London Sadiq Khan said he remains opposed to a third runway “because of the severe impact it will have on noise, air pollution and meeting our climate change targets”.
He said he will carefully scrutinise any new proposals, “including the impact it will have on people living in the area and the huge knock-on effects for our transport infrastructure”.
“Despite the progress that’s been made in the aviation sector to make it more sustainable, I’m simply not convinced that you can have hundreds of thousands of additional flights at Heathrow every year without a hugely damaging impact on our environment,” he added.
Green Party MP Sian Berry said expanding airports “in the face of a climate emergency is the most irresponsible announcement from any government I have seen since the Liz Truss budget”.
Conservative shadow chancellor Mel Stride accused Ms Reeves and Sir Keir Starmer, and “their job destroying budget” of being “the biggest barriers to growth”.
“What’s worse, the anti-growth chancellor could not rule out coming back with yet more tax rises in March,” he added.
“This is a Labour government run by politicians who do not understand business, or where wealth comes from. Under new leadership, the Conservatives will continue to back businesses and hold this government to account.”
This breaking news story is being updated and more details will be published shortly.
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