Sajak and White preside over Wheel of Fortune, which is currently celebrating its 34th season in syndication.
Trebek is the star of Jeopardy! which is now in its 33rd season.
"Pat, Vanna and Alex are beloved by generations of TV viewers, and the enduring popularity of Wheel of Fortune and Jeopardy! is a testament to their incredible talents," Harry Friedman, executive producer of both shows, said in a statement. "All of us at Wheel of Fortune, Jeopardy!, and Sony Pictures Television are thrilled that they will continue through the 2019-20 season."