Devan Dubnyk made 30 saves for the Wild, who eliminated the Central Division champion Blues in the first round of the playoffs last season in six games and held on for the win in their home opener despite being outshot 13-1 over the final 20 minutes.
St. Louis star Vladimir Tarasenko scored on a power play early in the third period, after a double minor penalty on Thomas Vanek for high sticking, and Alexander Steen had the first goal for the Blues.