It says the circumstances preceding the April 20 confrontation led to the decision.
“We now deem this case to be closed.”
Video of the altercation published last month appears to show Tyson repeatedly hitting a passenger in the seat behind him on a plane.
The incident occurred prior to the flight’s departure out of San Francisco International Airport, the district attorney said.
In a statement last month, representatives for Tyson described the passenger as “aggressive,” saying he “began harassing (Tyson) and threw a water bottle at him while he was in his seat.”
It also reviewed incident reports from the San Francisco Police Department and the San Mateo County Sheriff’s Office.
The reports said the victim had been drinking and “appeared to be intoxicated,” the district attorney said.
The victim shared “minimal details of the incident” with the officers who responded to the scene that day.
He was treated for injuries that were not life-threatening, the San Francisco Police Department said last month.
Police confirmed two people were detained.
The Brooklyn-born 55-year-old Tyson, who retired from boxing in 2005, returned in 2020 for an exhibition fight with Roy Jones Jr.