Wilson completed 19-of-25 passes, including a go-ahead touchdown to Golden Tate late in the third quarter.
The Seahawks (3-2), however, had to fend off a late Panthers charge when punter Jon Ryan was forced to take a safety after receiving a high snap while kicking from his end zone.
That narrowed Seattle's lead to two points and Carolina's Newton staged a last-chance drive to get into field goal range. But he was sacked by Bruce Irvin, who forced a fumble recovered by the Seahawks.
Steven Hauschka supplied three field goals for Seattle.
Newton was held to 141 passing yards and 42 yards on the ground for Carolina (1-4).
'How to Train Your Dragon 2' releases 5-minute clip
Lytro unveils camera that can focus a photo after shooting it