Angel McCoughtry's 23 points, six rebounds, four blocks and three steals helped Atlanta hand Chicago its first loss of the season by an 88-74 count on Sunday.
Tiffany Hayes and Erika de Souza each added 16 points, and Jasmine Thomas totaled 13 as the Dream improved to 5-1 on the season.
Elena Delle Donne's game-best 25 points weren't enough for the Sky, who had taken their first four of the 2013 schedule. Allie Quigley had 14 points, while Sylvia Fowles posted 10 rebounds in defeat.
Although behind by 16 points after one quarter, Chicago pulled even in the third.
A Hayes putback spurred a quarter-ending 9-0 surge, and though the Sky cut their deficit to 68-64 early in the fourth, de souza's jumper kicked off a game-sealing 13-2 surge which ended on another Hayes bucket with 3:25 remaining.