People walking to work early last Thursday noticed the dead animal on a bench on East St in the Ashburton CBD.
Ashburton District Council group manager infrastructure and open space Neil McCann said they had reviewed CCTV footage of the area.
"It shows a 4×4 being driven into the West St carpark at 3.49am on Thursday, and a person then dragging the wallaby over the rail crossing to the timber seating," McCann said.
"The vehicle was too far away from the CCTV to clearly identify, and the person dragging the wallaby was wearing dark clothing and was also unable to be clearly identified.
"We are considering if there’s other footage or information we can access in order to make an identification, but leaving a dead animal in a shared public space is an offence under the Public Places Bylaw and clearly inappropriate."