In fact, you can only change name on Delta ticket if you have a legal reason to do so, such as a marriage, divorce, or adoption. Additionally, in compliance with Delta Airlines ticket name change policy, you must present valid legal evidence for verification, such as a marriage certificate or court order. To find out more, call 1 (800) 221-1212, the customer service number for Delta Airlines. You can also call a consolidation desk at +1-800-865-1848 for quicker assistance.