Denver airport said on its Twitter feed that airline ticket counters affected by the incident there included American Airlines, Aeromxico, Air Canada, Lufthansa and British Airways.
"Flight delays are possible," it said.
A Denver airport spokesman, Heath Montgomery, said earlier in the day that no additional security measures were being taken there, although he added that airport officials remained in contact with the US Department of Homeland Security and Transportation Security Administration.
"Especially in light of the events today, we share a heightened sense of awareness," Montgomery said.
US President Barack Obama and Democratic presidential election contender Hillary Clinton vowed to do more to confront militants, while Republican presidential front-runner Donald Trump called for tighter border security and suggested US intelligence services could use torture to head off future attacks.
The Obama administration was expected to impose tighter security measures at US airports following the Brussels airport attack, which occurred in a public hall outside of the security check area.
US Homeland Security Secretary Jeh Johnson said the agency has no intelligence that would point to a similar attack being plotted against the United States.
US Representative William Keating of Massachusetts, the senior Democrat on a House of Representatives subcommittee on terrorism, said the suicide bombings in the Belgian capital illustrated the difficulty of protecting "soft targets" outside tightly controlled security cordons.
"We should learn from this that the targets aren't going to be just getting on the plane itself, but the airport in general," Keating said in a phone interview.
Delta Air Lines Inc, United Continental Holdings Inc and American Airlines Group Inc cancelled or rerouted flights as a result of the Brussels attacks.
Reports say that nine Americans have been killed in the attacks in Belgium.
- AAP
