Best known in New Zealand as the face of a long-running television advertising campaign for a tyre company, Martin mixes work as a jazz and blues singer around his acting career.
Art deco festival committee vice chairwoman Amie Pont invited him to perform at Ranfurly.
"Most of what I sing is jazz and that's perfectly in keeping with the art deco theme, so I thought it was a good opportunity," he said.
He performed during the art deco cabaret on Friday night and again during the street party on Saturday.
Festival committee chairwoman Diane Paterson said Martin "stole the show" at the cabaret.
Before shifting to New York about 16 years ago, Martin lived in Australia and featured in several soap operas during the earlier part of his acting career.
In 2000 he appeared in Castaway with Tom Hanks and in September he was in Nelson, taking a lead role in the movie Kiwi Flyer. The family movie is inspired by the Nelson Trolley Derby and is about a boy who sets out to win the derby in memory of his late father. It opens in cinemas at the end of June.
Martin visits this country every year to film more advertisements and is thinking about settling here.
"I think I'm ready to leave New York and I'd like to buy myself a boat and live on it in New Zealand. I like that lifestyle and the people who own boats.
"I could happily live here. What's not to like? There's good people and it's got to be one of the most beautiful countries"
He plans to tour New Zealand later this year.