Giguere won his ninth straight start for the Ducks, who have won five in a row and have the league's best record (25-3-6). Atlanta lost its third straight after five consecutive wins.
The Ducks extended their club-record road winning streak to seven and improved to 12-1-2 for 26 points away from home, the most for 15 games in NHL history, according to the Elias Sports Bureau. The 1951-52 Detroit Red Wings had 25 points (10-0-5).
Anaheim has won 10 of 11 overall.
Niko Kapanen scored Atlanta's only goal and Kari Lehtonen stopped 30 shots to keep the Thrashers close.