Fly and take tram.
You can take the Amtrak, but I would suggest a flight. From MSP you have all types of transportation options to and from the Twin Cities, as well as the Mall Of America.
The train from the mall to the airport and back to the airport is provided by the metro transportation services of Minneapolis.. from the airport there are also trains travel into downtown Minneapolis. From downtown you can either catch buses or other trains that go to out lying areas of Minneapolis.. i have ridden the metro train as far as Big Lake Mn
A flight to the airport is suggested. Then connect w the great hotels and shop til ya drop
Take the shuttles and blue line. They aren't very expensive and they know right where to go
Thier are shuttle from airport it's not far to the mall.there is also a train that goes to the mall,I'm not sure if Amtrak goes there.
You can take the Blue Line tram directly from the terminal to the Mall of America. Very cost effective and quick!
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