If you want to know, what is the Southwest Airlines number? So you can Dail Southwest Telefono at +1-860-364-8556. Southwest airlines Telefono for information on flights, offers, and rates in the United States, customer service, and complaints in Spanish and other languages. Southwest Airlines has other channels in case you are not able to communicate on the customer service line Below are the links to social networks and the Southwest Airlines website, where you can find telephone numbers, addresses, service centers, technical assistance, and other information about the company.