There are one hour spots available in front of the Harmon building on Pacific and behind on Commerce.
You may park across the street in the parking lot on Pacific Ave ($3 for 3 hours) or behind the building in the UW Tacoma's short term lot. ($1 for one hour, $3 for 1-3 hours).
Another parking option is Tacoma's light rail. For more information see the Sound Transit website.