In a tweet, the president said: "I've asked Debbie Wasserman Schultz to continue her excellent work as chair of the DNC. Thanks for all you do, Debbie."
The Florida congresswoman, who has presided over the party infrastructure for nearly two years, was expected to accept.
While Democrats were unable to take back the House of Representatives in congressional elections last month, they held the White House and built on their majority in the Senate.
The party is expected to formally pick its leaders at a meeting next month.
Fox News' Chad Pergram contributed to this report.