Syracuse’s bus system, Centro, does not operate to the Syracuse Hancock International Airport. Travelers heading to the airport may take Centro to the William F. Walsh Regional Transportation Center located only a few miles from the airport and pick up one of the many taxis stationed there to complete their journey.
From the airport, just take a taxi or hail a ridesharing service (Uber, Lyft) to the Regional Transportation Center to connect to a bus.
Centro bus schedules are available on their website
The Trailways bus is located outside of Terminal A.