Brown and Teasley each scored 23 points in Carolina's first road win against the Wolfpack since the 1993-94 season.
The Heels jumped out to an early lead and never trailed.
Carolina outrebounded the Pack, 41-33, and forced 19 turnovers.
Brown and Teasley also combined for nine threes and 12 assists.
The Tar Heels improved to 19-6 and 8-4 in the ACC. NC State is now 11-12 and 5-7.
NORTH CAROLINA (19-6)
Thomas 4-7 0-0 8, Brown 6-16 7-8 23, Sutton 4-10 0-1 8, Metcalf 1-8 0-0 2, Teasley 6-11 6-7 23, Chambers 0-1 0-0 0, Bell 3-3 0-0 6, McBee 1-5 2-4 4, Baptist 2-4 2-2 6. Totals 27-65 17-22 80.
N.C. STATE (11-12)
Rivers 3-7 5-6 11, Bell 0-1 0-1 0, Simpson 7-12 2-4 16, Scates 2-5 5-11 9, Chones 1-2 2-4 4, Stockdale 7-12 1-3 19, Olanrewaju 0-0 2-2 2, Moody 5-11 0-0 10. Totals 25-50 17-31 71.
Halftime-North Carolina 37-28. 3-Point goals-North Carolina 9-24 (Teasley 5-10, Brown 4-10, McBee 0-1, Metcalf 0-3), N.C. State 4-9 (Stockdale 4-8, Simpson 0-1). Fouled out-Stockdale. Rebounds-North Carolina 41 (Thomas, Sutton, Metcalf, Bell, McBee 4), N.C. State 33 (Simpson 6). Assists-North Carolina 18 (Brown 7), N.C. State 11 (Stockdale 5). Total fouls-North Carolina 25, N.C. State 23. A-9,146.