Rick Prior, chairman of the Metropolitan Police Federation, said the officers had been “fully exonerated and their reputations have rightly been restored”.
“Justice has been served. Why it ever got to this point however remains an absolute mystery,” he said.
Mr Prior said the reinstatements were “yet another damning indictment” of the Independent Office for Police Conduct (IOPC), the police watchdog which referred the officers to the misconduct tribunal.
“Our colleagues have been dragged through hell and back for four years. For doing nothing more or less than the job the public of London expect us to do,” he added.
An IOPC spokesperson said: “We note the outcome today of the officers’ appeal and await the written decision by the Police Appeals Tribunal.”
The Metropolitan Police has been approached for comment.
