The foursome hit the links at Trump National Golf Club in South Florida.
Woods was seen teeing off in several videos shot by onlookers at the golf course. He also was spotted doing some chipping on the practice greens.
Trump walked the course with a security team at his side. He sported black pants, a white polo shirt and a red hat with "USA" on the front.
Before hitting the course, fans shot video of Trump walking over toward the golfers and shaking their hands.
Some of the patrons even scored selfies with President Trump, Woods and Faxon. Another social media user posted a photo of Trump's golf bag. It was mostly white, with red and blue accents. It had Donald J. Trump printed on it, over the presidential seal.
Trump announced he would golf "quickly" with Woods and Johnson with a tweet on Friday.
"After Turkey call I will be heading over to Trump National Golf Club, Jupiter, to play golf [quickly] with Tiger Woods and Dustin Johnson," Trump tweeted. "Then back to Mar-a-Lago for talks on bringing even more jobs and companies back to the USA!"
That tweet had nearly 100,000 interactions as of Saturday morning.
Trump posted a round of 68 in October, according to his GHIN profile page. His previous low was a 70 in August of 2013.
The 71-year-old has an impressive 2.8 handicap, according to the website.
Woods hasn't played competitive golf since February, but he has been consistently posting updates of his progress and swing. He is targeting the Hero World Challenge at the end of the month for his comeback from a fourth back surgery.