A kangaroo was tied to the back of a car and dragged for at least two kilometres through suburban streets in Victoria's north in a stunt that has outraged police.

The dead kangaroo was found lying in a pool of blood in the middle of High Street in Wodonga about 3.35am with a rope tied around its neck and paw.

Acting Senior Sergeant Larry Goldsworthy, from Wodonga Police, said it was unclear whether the adolescent kangaroo was alive or dead when it was dragged behind the vehicle.

Officers discovered a two-kilometre trail of blood and fur leading to where the carcass was found by a passerby.

"I think the community has every right to be outraged at the behaviour of the people involved in this," Acting Senior Sergeant Goldsworthy said.