No injuries were reported from smoke inhalation, DIA said, but it was unclear if anyone was injured while getting off the plane.
Passenger on the plane say oxygen masks never dropped down and flight attendants told them to get low to the ground and cover their mouth's with blankets, or clothes.
An airport spokesperson said there may have been minor injuries due to the evacuation on emergency slides.
A cellphone name to Delta was not instantly returned Tuesday night time.
At least one passenger on Flight 1854 shared images of the plane being evacuated on Twitter, calling the incident the "scariest thing ever".
Two confirmed cases in new outbreak of Ebola in Congo
Matshidiso Moeti, said, "We know that addressing this outbreak will require a comprehensive and coordinated response". An Ebola outbreak has been declared in the Democratic Republic of Congo's north-western territory of Bikoro .
Delta released a statement confirming passengers had to deplane via slides and over the wing, after smoke was seen in the cabin. No direction from delta.
Pictures on social media showed passengers standing on the plane's wing during the evacuation while a shuttle bus transported them to the airport. "When there are fumes coming out of vent & everybody dizzy, there is a problem & it's necessary to evacuate".
A Delta Air Traces flight from Detroit to Denver was evacuated after passengers reported smoke within the cabin. The photo does not appear to include any Delta crew members or emergency personnel.
"Dog was the first to bark", she wrote on Twitter. "I mean, now that I think about it, it was like, what if this would have happened in the air".