Visit Southwest's website to book your non-stop flight online (see Resources).
Click the box for "One Way" or "Roundtrip" for your flight. Enter your departing airport, arrival airport, departure date and return date. Choose the number of adults, children and seniors in your party and click "Search".
View your search results. Click "Purchase" next to the flight you want from the list of results. Continue the booking process by entering the names of each passenger traveling in your party, selecting your desired seats and your contact information.
Enter your credit card number and review your reservation before finalizing your purchase. Your tickets are emailed to the email address you provided when entering your contact information.