A true freshman, Wilson also had four steals and three blocks for the Tar Heels (5-0). Luka Bogavac added 16 points, Jarin Stevenson scored 11 and Henri Veesaar had 10.
Austin Benigni scored 19 points for Navy (2-3) and Jinwoo Kim added 14 in the Midshipmen's first trip to Chapel Hill since 1936.
UNC led wire-to-wire, but Navy trimmed the deficit to three points midway through the first half on a layup from Donovan Draper.
The Tar Heels responded with a 14-5 run - capped off by free throws from Bogavac - to retake a comfortable double-digit advantage.
Navy cut the Tar Heels' lead to four points early in the second half, but UNC answered with a 24-7 run, highlighted by three spectacular transition dunks from Wilson.
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Despite returning 86.6% of its scoring from last season - the most of any roster in the nation this year - Navy had trouble finding the basket consistently against UNC, shooting just 30.4% from the floor.
The Tar Heels have held four opponents to under 40-percent shooting this season and are now 49-4 under fifth-year coach Hubert Davis when doing so.
North Carolina became the third program in Division I men's basketball to reach 2,400 victories, joining Kentucky and Kansas.
This victory marked the final of five consecutive home games to start the season for the Tar Heels, the longest season-opening home stretch they've had since 1918. UNC won't return to the Dean Smith Center until Dec. 7.
North Carolina will next play St. Bonaventure in the Fort Myers Tip-Off next Tuesday.
The Associated Press contributed.