Mr Lyons said that unlike UKIP, which is also against HS2, they already have an MP fighting the plans in Parliament.
He said: “We just don’t need HS2, it’s absolutely crackers.”
However, the ruling Conservatives on both the District and County Council as well as local MPs are against the plan.
HS2 say the £32bn scheme will create 100,000 jobs and provide a much needed boost to the economy.
Those against say it has no business case and will ruin areas of outstanding natural beauty.
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Wednesday morning's weather for the east of the region
Wednesday morning's weather for the west of the region
The first of 1,400 new commuter train carriages for the south has just arrived from Germany.