In a ramp: 7A Ramp (Exchange Street - connected to History Theatre by skyway) and World Trade Center (7th and Cedar).
On the street: The downtown parking meters in St. Paul are enforced from 8:00am-10pm Mon-Sat; $2/hour until 6pm; and $1/hour 6-10pm. Note: if there is a Wild game or other event, parking rate goes up to $3.75/hour. Metered parking spaces are available on Wabasha, Exchange, and 10th Streets, but depending on construction, detours, or other events parking can be extremely limited; if you want to park on the street PLEASE GIVE YOURSELF EXTRA TIME.
Here’s a link to the parking rules: https://www.stpaul.gov/departments/public-works/traffic-lighting/parking/metered-parking
More parking information available at Saint Paul Smart Trips.
NOTE: The lot across 10th Street from History Theatre belongs to the St. Paul Public Health Services. It is not a public lot. Park there at your own risk.