Scott Niedermayer and Sean O'Donnell scored second-period goals for the Ducks.
Pierre-Marc Bouchard had the Wild's lone score, closing the gap to 2-1 later in the second period with what turned out to be the game's final goal.
The Minnesota loss left Buffalo as the NHL's only team with a perfect record. The Sabres defeated Carolina 5-4 earlier Friday to run their record to 7-0, the first team to win its first seven games since Pittsburgh in 1994-95.
The victory was the Ducks' fifth in their seven games; they lost twice in shootouts.
Bouchard swatted a shot around Giguere from some 10 feet to the left of the crease for his first goal of the season. Kurtis Foster and Brian Rolston assisted on the score at 12:18 of the period, with Rolston picking up his fourth assist and team-high ninth point of the season.
Niedermayer scored Anaheim's first goal with an alert play at 3:25 of the second period. Seeing that Manny Fernandez had dropped his stick, Niedermayer quickly wristed a shot from the right corner that slid between the goalie's pads.
Fernandez faced 29 shots in losing for the first time in six starts this season.
The goal was Niedermayer's second of the season, with Todd Fedoruk and Corey Perry getting assists.
Giguere and Fernandez each survived a close call in the opening period to keep the game scoreless.
Giguere, flat on his back near the top of the crease, managed to reach behind him and secure the puck during a scramble in front of the goal about midway through the period. Fernandez made a similar save a few minutes later.
Notes: Minnesota C Wes Walz, out with a left hip flexor, skated during the morning workout but did not play. ... The Ducks have beaten the Wild four of their last five meetings in Anaheim. ... The Wild's first five games were at home. They beat Los Angeles 2-1 in overtime Wednesday in their first stop on a three-game road trip. They wrap it up in San Jose on Saturday night before returning home to host the Kings and the Ducks.