What Delta terminal at JFK? Delta Air Lines operates out of Terminal 4 at JFK, a modern and busy facility designed to handle high volumes of passengers. The terminal features a bright, spacious design with extensive dining and shopping options, including duty-free stores and a variety of restaurants. Delta Sky Club lounges offer comfort and amenities for eligible travelers. With efficient check-in, customs, and immigration services, Terminal 4 ensures smooth transitions between domestic and international flights, supported by excellent transportation links.