Delta has several divisions, each with its own customer service number. Check the Delta website to make sure you have the correct number for your concern. We offer cool deals from time to time, so if you're lucky enough to land one of those deals, you can fly for very little money or win exciting prizes. If you are looking to make a reservation with the most recognized airlines, you can simply go to the official website of Delta Airlines. Look for the reservations section on the home screen. You must enter the starting point and destination of the trip along with the date to make a reservation, confirm the reservation by making an online payment.