Rick Prior, Chair of the Metropolitan Police Federation, said: "Justice has been served. Why it ever got to this point however remains an absolute mystery.
"PC Jonathan Clapham and PC Sam Franks have today been fully exonerated and their reputations have rightly been restored. We are delighted for them.
"But this result is yet another damning indictment of the Independent Office for Police Conduct. Who holds them to account for what was a political witch hunt against two hard working police officers?
"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.
"Londoners would want officers to act when they saw such behaviour on our roads... and it remains astonishing that officers lost their jobs for doing their job.
"PC Clapham and PC Franks have had the full support of the Metropolitan Police Federation throughout this horrific ordeal. We thank their Federation Representative Joe Ross and their legal team for their work.
"We ask now that PC Clapham and PC Franks are allowed to carry on with their lives and their careers should they wish to."