Munchak was promoted from offensive line coach to replace the fired Jeff Fisher.
"There were many qualified candidates for this position, but Mike makes sense on so many different levels," Reinfeldt said. "He has seen this franchise from different angles as a player and a coach and has seen the team built and rebuilt in many different ways to achieve success."
Team owner Bud Adams initially said he would retain Fisher after the Titans had stumbled to a 6-10 season in 2010, but fired him three weeks later.
Munchak, 50, has been Tennessee's offensive line coach since 1997. He has been with the organization since 1982, starting as an offensive lineman when the team was in Houston and known as the Oilers.
He was selected to nine Pro Bowls and was inducted into the NFL Hall of Fame in 2001.
The Titans retired Munchak's No. 63 jersey in 1996.