The ban was revealed after guests asked for the drink to be supplied at an event but were refused because of concerns it stains the carpet when spilt.
Scotland’s favourite non-alcoholic beverage contains colourants that give it its distinctive luminous orange appearance.
A £200m refurbishment at the five-star Turnberry resort, which is on the Ayrshire coast, has included hundreds of thousands of pounds being spent on new carpets.
General manager Ralph Porciani told the Ayrshire Post: “We can’t have it staining when to replace the ballroom carpet would be £500,000 alone.
“We have villas here with Irn-Bru stains in the carpet which I can’t let.”
The ban has sparked fury on social media, with one post saying the US President had “declared war on Scotland”.
Another wrote: “He threatens to destabilise the Middle East by moving the American embassy to Jerusalem, reneges on the Iran nuclear deal, now the mother of all… Donald Trump angers Scots with ban on Irn-Bru at luxury golf course.”
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The makers of the drink recently changed its formula, reducing the sugar content by less than 5g per 100ml so it could be exempt from the sugar tax introduced by the government to tackle obesity.
The reduction in sugar has not affected sales of the drink – said in adverts to be made from girders – as makers AG Barr reported an 8% rise in sales this year.