Montgomery has been calling the plays for one of the most prolific offenses in college football. Baylor is the only team in FBS to be ranked in the top four in the country in total offense each of the last four seasons.
The Bears averaged 48.8 points and 581.3 yards per game this season under Montgomery, who just completed his seventh season and also served as the quarterbacks coach.
The 42-year-old Texan has spent most of his career as an assistant to Baylor coach Art Briles, first at Stephenville (Texas) High School and then at Houston (2003-07) and Baylor.
Montgomery was a finalist for the Broyles Award, given to the nation’s top assistant coach, in 2013.
He would replace Bill Blankenship, who was fired Dec. 1 after a 2-10 season in 2014 and went 24-27 at Tulsa over four seasons.