Matthews was selected in the first round of the 1983 NFL Draft by the then-Houston Oilers and went on to play 19 seasons for the franchise, earning 14 consecutive Pro Bowl selections and nine first-team All-Pro honors. He was inducted into the Hall of Fame in 2007.
"For me this is an opportunity of a lifetime," Matthews said. "It is such a unique opportunity to work with Mike because I think he will do a great job. It is just one of those things I couldn't pass up."
He spent the last two seasons as an offensive assistant for the Houston Texans and replaces Munchak, who was hired as Jeff Fisher's successor on Monday. Among the players he will be coaching is his son, Kevin, who was signed to the Titans' active roster in December after spending the season on the team's practice squad.
Munchak said Matthews should be able to easily pick up where he left off at the offensive line since Matthews is so familiar with the Titans' system. Matthews started as a rookie out of Southern California and played all five positions on the offensive line, starting 116 at guard, 87 at center and 39 at tackle.
"I am very excited that we were able to work out something with Bruce," Munchak said. "He is a great friend, but he also is a great coach. He has paid his dues as an assistant coach and is ready for this opportunity."