In spite of Trump's Mexico policy, the number of visitors from there was up sharply in the past year, he said.
Thompson said whoever the new president is would get a "great legacy" from the Obama administration in the travel and tourism business.
President Barack Obama was instrumental in setting up Brand USA after taking office in 2009. Before then tourism promotion had been fragmented in the country which now attracts 77 million foreign visitors a year.
The biggest single group come from Canada (20 million) followed by Mexico, (just under 20 million) and then Britain (around five million)
Numbers were growing at just under five per cent a year and the country aimed to attract 100 million visitors a year by 2021.
Like many other countries, the fastest growth market for the US was China.
He said just under 300,000 New Zealanders visiting according to the most recent figures, up 11 per cent on the previous year, largely due to improved air links.
"The growing air services, growing number of carriers and expanded existing routes and new routes such as going into Houston - that gets them into the heartland of the country and get them to anywhere they want to go," said Thompson.
"With us having a bit of a challenge with the strong dollar lower air fares offset that."