Francis has received numerous awards, including the Presidential Medal of Freedom,  the 2015 St. Ives Award, the highest honor awarded by the College of Law Alumni Association and the 2019 Laetare Medal from the University of Notre Dame.

He has served as an adviser to U.S. presidents on education issues. In addition, he has earned more than 40 honorary degrees, including

his Doctor of Laws from Loyola in 1982, Doctor of Humanities from Xavier University in 1998, Doctor of Laws from Harvard University in 2003 and Doctor of Laws from Georgetown University in 2015.

In 2021, New Orleans renamed its Jefferson Davis Parkway to Norman C. Francis Parkway to honor him.