Deputy Press Secretary Josh Earnest said the president and Woods, the winner of 14 major golf championships, were joined on the course by United States Trade Representative Ron Kirk and Houston Astros owner Jim Crane, according to a White House pool report.
The news was first reported by Tim Rosaforte, a writer for Golf World.
"The President is arriving at The Floridian range. Awaiting is Tiger Woods and club owner Jim Crane. Historic day in golf. Their first round," Rosaforte said on Twitter.
On Saturday, Obama practiced with Woods's former coach Butch Harmon at the club in Palm City.
The round is taking place under a Florida cold snap with temperatures not expected to break 60 degrees Fahrenheit on Sunday, according to a pool report.
Woods, one of the most successful golfers of all time, has been named the PGA Player of the Year a record ten times. In 2009 and 2010 his career suffered after revelations about extramarital affairs.
This post was updated at 2:05 p.m.