It ruled that their mistakes did not make them legally responsible for the deaths.
In the accident, on July 25, 2000, the jet crashed into a hotel near Paris's Charles de Gaulle airport soon after taking off, killing all 109 people aboard and four on the ground.
Most of the victims were Germans heading to the Caribbean.
A mistake made weeks earlier and thousands of miles away by a Continental mechanic in Houston played a crucial role in the crash, the court found.
But the Concorde's design left it vulnerable to shock, according to judicial investigators, who said officials had known about the problem for more than 20 years.