Cristobal also will serve as assistant head coach. He will replace Jeff Stoutland, who left after two seasons to coach offensive line for the NFL's Philadelphia Eagles.
"He has an outstanding reputation as both a coach and a recruiter," Saban said in a news release. "He will be a great fit in our organization, and I think our players will respond to his positive attitude and energy. This is a very important hire in terms of working with our offensive line, and we feel fortunate that we were able to hire a coach of Mario’s caliber."
Cristobal coached FIU during 2007-12 before he was fired this past December. He joined Miami's coaching staff in January as associate head coach in charge of tight ends.
He also was an assistant at Miami in 2004-06, coaching the offensive line in 2006. He also was an assistant coach at Rutgers in 2001-03 and a graduate assistant at Miami in 1998-2000.
He played for Miami on the Hurricanes' 1989 and 1991 national championship teams. He was an All-Big East offensive tackle on the Miami 1992 team that lost 34-13 to Alabama in the Sugar Bowl. The Crimson Tide clinched a national title with that victory.
"I want to thank Coach Saban and everyone here at the University of Alabama for this incredible opportunity," said Cristobal.
Sports Editor Mark Edwards: 256-235-3575. On Twitter @MarkSportsStar.