The dual carriageway tunnel will be built under the pre-historic monument in Wiltshire, south-west England, as part of a 2 billion pound scheme.
UK transport minister Chris Grayling said today that the tunnel will "transform" the busy A303 highway by "cutting congestion and improving journey times" and provide a "boost" to the UK economy.
"This major investment in the south-west will transform the A303 and benefit those locally by cutting congestion and improving journey times.
The move is aimed at preserving views of the ancient site, which have been damaged for almost 90 years since the A303, which now carries up to 30,000 vehicles a day, was opened just 165 metres from the stone circle.
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A public consultation to get the views of drivers and residents opened on Thursday and will run until March 5.
Some campaign groups has expressed their reservations over the move.
"If the government insists on widening the A303 by means of a tunnel, it must be sufficiently long to avoid any further damage to (Stonehenge) and its setting. Work on the tunnel is due to start in 2020 and be completed by 2029," the statement said.