The distressed animal was injured on an arterial road before it made its way into the airport. Police locked down part of the airport while rescue workers wrangled the kangaroo into a bag.
Dubbed Cyrus, the kangaroo was injured by a vehicle near Terminal Drive and Centre Road, Tullamarine, The Age newspaper reported.
The kangaroo then made its way to level two of the airport, although airport spokeswoman Anna Gillett said it was not clear how it got to level two.
Gillett said the kangaroo was sedated by Wildlife Victoria volunteers and taken away. Wildlife Victoria said Cyrus was now on the way to a veterinarian.
Gillett said although airport staff concentrated on ensuring kangaroos did not enter the tarmac, the animals did occasionally enter the airport's other areas.
"From where we are located there are kangaroos within the area," Gillett said.
She said the Australian Federal Police and the Department of Environment were involved in its management programme.
The roo was named after Cyrus, one of the helpers on the scene.
Wildlife Victoria's Emergency Response Service had two trained volunteers capture and sedate the eastern grey kangaroo.
