The Airbus A380 operated by the French carrier on a Rio-Paris route stalled during a storm over the Atlantic Ocean.
According to the BBC, the court said even if errors had been committed, a causal link between them and the crash could not be proved.
Air France and Airbus had always denied the charges, for which they were facing a fine of around £200,000. The companies reportedly claimed "pilot error" was to blame for the crash.