Canterbury District Commander Superintendent, John Price, said the incident has been investigated by Police Professional Conduct and handed over to the Independent Police Conduct Authority.
A man - who lived up the street and filmed the later altercation - said the "student" party had been going a few hours before it spilled on to the street.
Police began arriving and building up their numbers before forming into a line to sweep the partygoers out of the area.
That led to a number of arrests, the man, who did not want to be named, said.
However, the officer filmed in the video can be seen trailing behind his colleagues, who earlier moved up the street to arrest another person.
It was then a group of four people called out to the officer: "Hey, he's done nothing wrong".
An officer can be seen in a video shoving a man to the ground in an incident that was now the subject of a formal complaint. Photo / Supplied
The officer responds that he had warned the group to go home.
"Leave the area now or you will be arrested," he said.
The group say they haven't done anything wrong before one of the women says she will "tell my police officer father".
The officer asks "who's that", before starting to walk away while saying: "I'm sure he's really proud of having a skanky daughter in the streets swearing at the top of her head".
