Bob Holliday: ACC Tournaments Over The Years Posted Mar 9, 2006 North Carolina has the most titles: 15. But the Tar Heels haven't won an ACC Tournament since 1998. In fact, they haven't even come close. The only years in that span where Carolina has even made the finals - 1999 and 2001 -the Tar Heels were drubbed by Duke. (WRAL.com)