Tabb is a tight end who started at linebacker against the Hokies and played both ways Saturday. But he was ejected with 4 minutes left for throwing a punch during a kickoff return.
On Monday, team spokesman Kevin Best announced the suspension required by NCAA rules after the school had conferred with the Atlantic Coast Conference.
Tabb had just come back from a two-game suspension for breaking team rules.
The Tar Heels (1-4, 0-2 ACC) host the Hurricanes in a Thursday night game on Oct. 17.