A police spokesperson said there had been several reports of deer being seen in the Halswell area since 1pm on Sunday.
One such sighting related to a car being damaged, police said.
"One of those related to a car hitting a deer, however, the deer ran off into bushes, the car driver was OK, [but] their car was a bit damaged."
There had not been any further sightings of deer since 5.30pm, the spokesperson said.
Christchurch City Council said animal management staff had received a call about the deer.
The deer were last seen by officers two hours ago, and "have not been seen since".