The preseason league favorites were 7 of 8 from the free-throw line in the final minute of OT to win their second straight.
Erick Green scored 29 points while Jarell Eddie added 17. Eddie's 3-pointer put the Hokies up 84-83 with 1:45 left in OT.
After the teams traded turnovers, Tyler Lewis hit two free throws with 51.8 seconds left to give N.C. State an 85-84 lead.
Brown sandwiched two sets of two made free throws around a critical steal from Green with about 20 seconds left.