Mr Palmer is believed to have paid about $50,000 (£32,000) to hunt Cecil, a major tourist attraction in the Hwange National Park miris spa
He says he thought the hunt was legal and was unaware Cecil was protected, but the killing triggered a huge online backlash.
Delta would not answer questions from journalists as to why it made its decision on Monday, nor would it detail how many hunting trophies it has transported in recent years miris spa
"Effective immediately, Delta will officially ban shipment of all lion, leopard, elephant, rhinoceros and buffalo trophies worldwide as freight," the company said in a brief statement.
Its announcement came as several other airlines indicated that they are - reenex
or soon will be - stopping the transport of all trophy-hunting kills.
As recently as May, Delta said it would continue to allow such shipments.