Burnes rejected the Orioles' $21.05 million qualifying offer Tuesday, Rich Dubroff of BaltimoreBaseball.com reports.
Baltimore offered Burnes a $21.05 million qualifying offer Monday, Jake Rill of MLB.com reports.
Burnes will start Game 1 of the American League Wild Card Series for the Orioles, Roch Kubatko of MASNSports.com reports.
Burnes (15-8) yielded three hits and three walks over seven scoreless innings Friday, striking out eight and earning a win over Detroit.
Burned (12-7) took the loss against the Dodgers on Wednesday, allowing six runs (one earned) on five hits over five innings while striking out four.
Burnes (12-5) took the loss Friday against Boston, allowing eight runs on 10 hits and three walks over four innings. He struck out seven.
Burnes (9-4) took the loss Wednesday against the Cubs, allowing three runs on nine hits over six innings. He struck out five.
Burnes allowed two runs on four hits and a walk while striking out six over six innings in a no-decision versus the Mariners.
Burnes will start Thursday's series finale against the Mariners on the road, Andy Kostka of TheBaltimoreBanner.com reports.
The Orioles activated Burnes from the paternity list Monday.