Puzder heads CKE Restaurants Holdings, the parent company of Carl's Jr, Hardee's and other chains. In 2010, he published a book called "Job Creation: How it Really Works and Why Government Doesn't Understand It."
A Republican official and a person close to Trump's transition said today Trump had settled on Puzder for the job, but it had not been announced.
The Californian was one of Trump's earliest campaign financiers, serving as a co-chairman of his California finance team and organizing fundraisers well before most major donors got on board with the eventual Republican nominee.
As one of Trump's most outspoken defenders, Puzder frequently appeared on cable news and Twitter to talk up the benefits of having a business leader in the White House.
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A week after Trump's election, Puzder said he agreed with Trump's aim to ease business regulations.
"We've reached the point where overregulation is doing meaningful damage to our businesses," he said last month at the Restaurant Finance & Development Conference in Las Vegas, citing high labor costs, increased health care costs and "political and social" policies as hindrances.
He also selected his campaign's national finance chairman Steven Mnuchin, a former Goldman Sachs executive and hedge fund investor, as Treasury secretary.
Puzder has visited with Trump several times since the election, including a meeting Wednesday afternoon at Trump Tower.
Puzder has long been a reliable GOP donor. He was a major financier for 2012 GOP nominee Mitt Romney and has remained close to him. At Romney's annual donor summit in June, Puzder was one of just a few attendees who aggressively promoted Trump to the dozens who were more squeamish about their party's new star.