Nearest major airport to Lackland Air Force Base: The closest major airport to Lackland Air Force Base is San Antonio International Airport (SAT / KSAT). This airport is in San Antonio, Texas and is 19 miles from SKF. If you're looking for international or domestic flights to SAT, check the airlines that fly to SAT. Search for direct flights from your hometown and find hotels near SKF, or scroll down for more international airports or domestic airports.