Hewitt was upset that key calls went to Duke in the Blue Devils' 69-64 win over Tech in the ACC championship game Sunday.
ACC Commissioner John Swofford said Hewitt violated the Conference's Sportsmanlike Policy, which prohibits public criticism of game officials.
"While there are calls in any contest that can be debated, our member institutions have agreed that any public criticism of game officials is inappropriate," Swofford said. "There are proper channels of communication in place that are available to all coaches and administrators for these types of concerns to be expressed to the conference office."
"I apologize for the personal nature of my comments," Hewitt said. "I'm in agreement with Commissioner Swofford that these types of issues should be handled internally."