1:21 PM PT -- The San Francisco Police Dept. tells TMZ Sports officers did respond to the scene ... and did detain two people they believed to be involved in the incident.
Cops added, though, that after one of the people was treated for non-life-threatening injuries, that person "provided minimal details of the incident and refused to cooperate further with the police investigation."
The SFPD says it is aware of the video of the altercation and has forwarded it to the San Mateo County Sheriff's Office.
Mike Tyson's rep says the man he punched repeatedly on a plane on Wednesday was not only harassing him ... but also threw a water bottle at him before the fight.
Reps for Tyson made the claims in a statement to TMZ Sports ... also saying the passenger on the San Francisco plane was "aggressive" during the incident as well.
"Unfortunately, Mr. Tyson had an incident on a flight with an aggressive passenger who began harassing him," Tyson's reps said Thursday, "and threw a water bottle at him while he was in his seat."
As we reported, Tyson was seen on video unloading a flurry of punches on the man after the plane's passenger had appeared to be annoying Tyson in his seat.
Footage we obtained shows the man was bloodied following Tyson's barrage of blows ... and a witness says the guy needed medical attention.