Carter Hutton stopped 22 shots for his second win in two nights for the Blues. Hutton made back-to-back starts for the first time this season and has played in the last five.
Rickard Rakell scored for Anaheim and John Gibson made 24 saves as the Ducks fell to 1-8 in overtime.
The game was largely dominated by stellar goaltending and there were few chances to be had for either team.