According to a new report by the International Union for the Conservation of Nature (IUCN), tuna species are beginning to recover from being on the edge of extinction.
The IUCN updated their Red List of Threatened species at the IUCN World Conservation Congress in Marseille, France.
However, whilst several species of tuna are showing signs of recovery, 37% of the world's sharks and rays are now threatened with extinction.
Dr Andy Cornish, shark programme leader for the WWF, said: "We are losing this ancient group of creatures - starting to lose it species by species right here, right now - we desperately need urgent action."
According to the IUCN, the rise in tuna stock is because of countries committing to stricter rules and cracking down on illegal fishing, after most types of tuna were considered at threat to extinction in 2011.
Although there are some areas where tuna stock is still concerning to conservationists, such as the yellowfin tuna, which is still being overfished in the Indian ocean.
Four of the most fished tunas have showed signs of recovery, according to the updated Red List.
The update to the Red List also states that up to 37% of sharks and rays species could be threatened with extinction due to overfishing and climate change.
The report states that out of all the threatened species of sharks and rays that are overfished, 10% of those species are affected by climate change and 31% are affected by a decline of habitat.
"We can't sit back - this is a wake-up call to the world that we need to do much more about our oceans and the biodiversity in them."
That means the waters where they live are being affected by things like temperatures or pollution.
Dr Andy Cornish said: "The alarm bells couldn't be ringing louder for sharks and rays".