Getting in from the airport
Boston's airport is Logan International (BOS), about three miles east of downtown across the harbor. The cheapest route into the center is the Silver Line SL1, a bus that stops at every terminal and runs free from the airport to South Station, where you can transfer to the Red Line for free. If you are heading to Back Bay, Fenway, or anywhere on the Orange or Green lines, take the free Massport shuttle from your terminal to Airport Station and board the Blue Line; a standard subway fare applies from there. Taxis and ride shares serve the airport curbs, and a water taxi or the Logan ferry is a slower but scenic route into downtown.
The Silver Line SL1 stops at all Logan terminals and is free from the airport to South Station, with a free transfer to the Red Line. SourceMassport: Public Transportation to Logan
The on-airport shuttle to Airport Station is free, and the Blue Line runs from there to downtown, connecting to the Orange Line at State and the Green Line at Government Center. SourceMBTA: Logan Airport