He defeated Deborah Prickett with a vote of 5-4.
Sutton had served as the vice chair for the past year, but Kevin Hill decided to give up the gavel.
Christine Kushner was elected as vice chairwoman.
Also Tuesday evening, school board members agreed to make several changes to the proposed student assignment plan.
The changes would reduce the number of students facing different school assignments next year.
Another hearing on the assignment plan will be held Wednesday at Rolesville Middle School.