Best bet is to not drive at all. Take Metra train to Ogilvie transportation center and then walk about 1.5 block across the river to the Opera House.
I agree with Karime Silva. The best way to find the most affordable parking( for up to 12hours for $8-$10) is to use Parking Panda or Spot Hero app. You can always find some additional discount code on their prices, all over the Internet ( check Groupon and Living Social for the best offers). The Civic Opera House is offering their valet parking for $12 for the duration of the performances.
There is a spot hero a few blocks from it. Just open the app. We usually find it between 8 to 12dls for around 4-5hrs
What Jerome said. Parking is too expensive.
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