"We believed that we had met all the requirements and that we had the perfect conditions to be added to the sports programme; however, we have learned today that our dream will not be coming true," president Antonio Espinos said in a statement on the organisation's official website.
"France is one of the strongest countries in Karate. We had founded hopes to be in Paris 2024 due to the strength and popularity of our sport in France."
Karate, which is to make its Olympic debut at Tokyo 2020, was absent from the list of four sports organisers recommended for the 2024 Summer Games, which included surfing, skateboarding, sport climbing and breakdancing.
The association of Japan, which has won the most medals in the world karate championships, also condemned the move.
"This (announcement) came even before people were able to see karate at the Tokyo Olympics. This will bring the mood down ahead of Tokyo," said general secretary Shuji Kusaka.
The karate association of Spain, the fourth best performing nation of all time at the world championships, behind Japan, France and Great Britain, was also critical of the exclusion.
"Yesterday (Thursday) karate suffered a massive setback. The karate community feels sadness, frustration and above all impotence right now," said its statement.
"We will be at Tokyo 2020 at the highest level and we'll show the world that our sport is as worthy as others and we will show the Paris 2024 organising committee how wrong they are."
(Reporting by Richard Martin; Editing by Chrsitian Radnedge)
