Henson will take over for David Yost, who resigned from the post on Monday.
Henson has served as Missouri's co-offensive line coach, along with Bruce Walker, since arriving to Columbia from LSU in 2009. Henson was a tight ends coach and recruiting coordinator at LSU for four years, and held the same position at Oklahoma State before that.
Mizzou finished 97th in FBS in total offense in 2012, averaging 356.4 yards per game. Among SEC teams, only Kentucky and Auburn were worse. Under Yost, the running game in particular suffered, as the Tigers finished 90th in the country with 138.5 yards per game.
Upon his resignation, Yost also vacated his position as quarterbacks coach. Rather than assign both duties to Henson, Mizzou will have wide receivers coach Andy Hill fill the opening.