Leon Gawanke had a goal and and assist for Manitoba.
Wyatt Bongiocanni also scored for the Moose, who rebounded from a 5-2 loss to the Wild on Saturday.
Arvid Holm made 33 saves for Manitoba, who moved to 5-1-1-0 on the season.
Mike O'Leary had the lone goal for the Wild on the afternoon.
Zane McIntyre turned aside 26 shots for Iowa, who dropped to 1-3-0-2.
Iowa got an early lead when Mike O'Leary slid the puck between Arvid Holm's pads off a faceoff at 4:24.
The goal was his first of the season.
Cole Maier tied the contest with 41 seconds left in the opening stanza when he worked his way from behind the Iowa goal before turning and unleashing a wrister, beating McIntyre glove side to make it 1-1.
Leon Gawanke put the Moose ahead at 7:57 of the second period on the power play.
With Mike O'Leary off for holding, Gawanke took a feed from Jansen Harkins before stepping into a shot from the top of the circle, beating McIntyre high glove side at 7:57.
Cole Maier gave the Moose a two-goal cushion just 15 seconds later when he scooped up a rebound off a point shot from Ashton Sautner and slid the disc past McIntyre to make it 3-1 at 8:12 of the second period.
The goal was his 2nd of the season.
Wyatt Bongiovanni extended the Manitoba lead on the power play at 7:49 of the third when he took a pass from Declan Chisolm along the left side boards before moving in to the top of the face off circle before wiring a wrister past McIntyre, beating him blocker side to make it 4-1.
The goal was his 2nd of the season.
Iowa returns home to host Grand Rapids Thursday while Manitoba hosts Texas on Friday.
SHOTS-IOWA 34 WINNIPEG 3
ATTENDANCE-2884
