"I think it's a great thing that happened, an amazing vote, very historic. We're very happy," the 70-year-old Republican leader said as he arrived at Trump Turnberry for the reopening of a refurbished Open venue golf resort.
Trump had added his name to the Ayrshire hotel and golf course after buying the resort for an undisclosed fee in 2014. According to reports, he invested USD 300 million.
The American billionaire emerged from helicopter wearing one of his own Make America Great Again hats, alongside daughter Ivanka and son Eric. They weregreeted by bagpipe players in a traditional Scottish welcome.
Trump's business links with Scotland began a decade ago as he promised to create a legacy to his mother Mary MacLeod, who was born in Stornoway in the Outer Hebrides.
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He had announced his visit for the official re-opening of Turnberry earlier this month.
Ralph Porciani,TrumpTurnberry manager, said: "We have always known that the newly-renovatedTrumpTurnberry would be among the finest hotels anywhere in the world. The Trump Organisation has spared no expense - it is a genuine masterpiece.
"Guests can expect an opulent and very private experience atTrumpTurnberry, which is hidden away in a richly historic landscape with breathtaking views. No request will be too great and no detail too small."
His proposal to ban Muslims from entering the US drew the ire of British Prime Minister David Cameron, who has called the idea "stupid, divisive and wrong".
London mayor Sadiq Khan had also rebuffedTrump's offer to make an exception for him to be able to travel to the US.
"I don't withdraw in any way what I said about the policy of not letting Muslims in to America. I do think that is wrong and divisive," Cameron had reiterated after Trump insisted he take back his initial views.