The two parking garages recommended are:
Hennepin Avenue Ramp (Impark Lot #180) 25 N 1st St, Minneapolis, MN, 55401
100 Washington Square Visitor Lot (Located directly behind the 100 Washington Square Building off of S 2nd Ave and Marquette Ave)
Parking will only be validated if you park in one of the two lots above
There are early bird specials available at most parking garages. For street parking, the map attached shows parking that is available from 8AM – 10PM.
Be aware of the maximum time allowed for street parking.
Below is also an interactive parking map.
Minneapolis parking - free or cheap lots, garages and street meter spots (parkopedia.com)