There are 140 public airfields and 16 state owned airports in the state of Washington.
It would be easier to answer your question if you indicated which city you want to fly into.
The closest airport would be Reagan National in Washington, DC.
You can fly into Flagstaff Airport if going to the Grand Canyon
The closest airport would be Reagan National Airport. There are two other airports in the area of Washington, DC and they are Dulles International Airport in Northern Virginia and Baltimore Washington International Thurgood Marshall Airport (BWI) just south of Baltimore.
John Wayne Airport
From Syracuse to Washington DC it is a 1 hour and 2 minute flight.
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The Norman Manley International Airport (NMIA).
Honolulu International Airport (IATA: HNL, ICAO: PHNL)
O'hare, in Chicago.
What terminal you fly from at LAX depends on where you are going and what airline you are using to get there.
Rapid City, SD
If you are flying domestically, then the Long Beach Airport is easiest. If you are going international, then LAX is easier.