It was Anaheim's season-high fourth straight loss.
Drafted by Anaheim in 1994, Stevenson appeared in just 56 games over parts of four seasons with the Ducks, collecting three goals and six assists.
After signing as a free agent with Minnesota on Nov. 26, the California native has paid dividends by recording an assist on his first shift with the Wild, then paving the way for the win over his former club.
With 2:52 remaining in a scoreless first period, Stevenson deflected Cliff Ronning's pass from along the left boards for his first tally since March 29, 2001 with Nashville and second point in as many games with Minnesota.
Andy McDonald netted the lone tally for the Ducks, who have dropped five of their last six contests.
Adam Oates recorded his 1,040th career assist on McDonald's goal, tying him with Marcel Dionne for eighth place on the all-time list.