The shirtless can be seen holding a machete to the other student's throat. Photo / Facebook
The West Auckland schools are in neighbouring suburbs of Kelston and Henderson.
The video shows a young shirtless student approaching another student with a machete.
The white-shirted student taunts the other to attack him with the machete-like knife, which leads to the shirtless student putting it up to his throat before punching him in the head.
The white-shirted student defends himself and tries to hit back, but the shirtless student walks away.
Other uniformed students can be seen watching and filming the fight in the background.
In an extended video, taken as part of a Facebook story, shows what events unfold moments later.
A third student, wearing a black T-shirt, was seen running up behind the white-shirted student and hitting him in the head, knocking him to the ground.
The student on the ground is then punched and kicked by him before he runs away.
Inspector Stefan Sagar said police will not tolerate the actions of the alleged offenders and we treat incidents of this nature extremely seriously.
"Disorder incidents such as this have no place in our community and we will not hesitate to deal with anyone involved.
"There will also be an increased police presence in the Henderson area in the coming days to prevent any further disorder incidents taking place.
"I want to reassure the community that police will continue to investigate this incident and we will be talking with our partners, including local schools," says Inspector Sagar.
Anyone who witnessed the incident is asked to call Henderson Police on 09 839 0600 or call Crimestoppers anonymously on 0800 555 111.