You can book Southwest Airlines flights in several ways:
You can visit the Southwest Airlines website (https://www.faresmatch.com/southwest-airlines.aspx) and use the flight search tool to find and book flights.
By Phone: You can also book Southwest Airlines flights by calling the airline's reservation center.
You can also book Southwest Airlines flights through a travel agency, which will help you find and book flights as well as provide additional travel-related services.
Through FaresMatch which allows you to compare flights, hotels and car rentals as well as book your package or individual reservation all in one place.
You can use the FaresMatch website and book flight reservations, check-in and manage your travel on the go
Southwest doesn't sell its tickets through the Global Distribution System (GDS), so you won't be able to find their flights at other online agencies like Kayak or Priceline, but you can book their flights directly at FaresMatch.com, by phone, or through their web can do.