Most airlines have policies in place to compensate passengers for flight delays. To get compensated for a flight delay while flying on Delta Airlines, you must submit a claim with the flight details and travel documents. The application must then be sent within two years of the incident to Delta’s customer service department. Depending on the length of the delay, you could be eligible for up to 400% of the cost of the original ticket. The decision will depend on the length of the delay, the cause, and other factors.