Duke trailed by nine late in the opening period, then rallied to face a one-point deficit at the break and dominated over the second half.
The Blue Devils (16-1, 3-1 Atlantic Coast Conference) were coming off their first loss of the season -- an eight-point setback at North Carolina State.
Curry scored 22 points while Mason Plumlee had 16 points and 13 rebounds. Duke shot just 40 percent from the field, but made 10-of-21 from 3-point range.
Chris Bolden was the only player in double figures for Georgia Tech with 20 points. The Yellow Jackets (10-6) remained winless in four conference games.