Vandals broke in to the Edinburgh Gateway site and caused damage to vehicles, construction machinery and buildings between 7.30pm – 9pm on Saturday, 11 June.
The cost of the damage is estimated between £45,000 - £65,000.
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BTP Inspector, Lindsay Clarkson, said windows were smashed and graffiti was daubed over buildings.
"BTP takes criminal damage on the rail network extremely seriously. It is nothing more than selfish vandalism that makes people fearful of their surroundings and costs the railway industry thousands of pounds to clean up," she said.
"Unfortunately the costs associated with the clear up and fixing the damage caused is ultimately covered by the fare-paying passenger, which is not acceptable."
The £41 million Edinburgh Gateway railway station is being built by Balfour Beatty.
(LM)
