Japan is the main country which fish Atlantic Tuna.
All the Nations that fish the Atlantic bluefin Tuna have agreed on reduced quotas this is to make their paln of preserving the stocks that activists say are critically depleted.
Japan and the European Union has come to a decision to take cuts in the forthcoming years and are expected to cut about 20% over the next four years.
A meeting in Tokyo of the group that manages bluefin tuna fishing decided to cut the overall take from 32,000 tonnes this year to 25,500 tonnes in 2010.
Environmentalists had called for much steeper reductions.
The European Union, which has the largest quota, will see its share of the total catch remain almost the same at 57%.
"Even if the total reduction was set, each country cannot actually take action without national quotas to reach the goal," he told Agence France-Presse news agency.