Prime Minister Prayuth Chan-ocha said on Thursday international members of the rescue team would be given a "Thailand Elite" card worth 500,000 baht ($15,000) with benefits including a 5-year visa in thanks.
The group survived by drinking water that dripped off the stalactites and the cave walls, rescue officials said.
Initially isolated in hospital in Chiang Rai because of fears of infection, the boys have now been allowed to meet their families. They will stay in hospital at least a week.
"The boys' health is improving ... relatives can now visit them in close proximity," said Thongchai Lertwilairatanapong, a health ministry inspector.
The rescue gripped the world, with much praise focusing on the navy SEALs and international team of divers who helped them, toiling for days in dangerous conditions to get the boys out. A former Thai navy SEAL diver died during the mission.
John Volanthen, one of the two British divers who found the boys, played down the gallantry.
"We're not heroes," he told the BBC after arriving back in London.
"What we do is very calculating. It's very calm, it's quite the opposite ... But it's really the international team I would like to focus on and the Thai SEALs."
Volanthen was the first person the boys heard after nine days trapped in the flooded cave. A video posted by the Thai SEALs captured the moment.
"How many of you?" he asked, a torch beam scanning the boys crowded on the bank.
"Thirteen? Brilliant."
Prime Minister Prayuth Chan-ocha said on Thursday international members of the rescue team would be given a "Thailand Elite" card worth 500,000 baht ($15,000) with benefits including a 5-year visa in thanks.
