The 47-year-old picked India and Australia as the showpiece finalists.
The T20 World Cup is due to be held in October and November later this year Down Under.
“I think India and Australia will play the final and I just have to say Australia will beat them in the final,” Ponting said on the latest episode of The ICC Review.
“The defending champions have conditions at home and that’s one thing that made Australia’s victory at the last World Cup not remarkable but a bit sweeter for them.
“The fact that a lot of people, myself included, thought when they went to the UAE about the conditions they were going to have to face on the back of the IPL, I thought the conditions might have been the something that might not have allowed for winning. But they found a way.
England Whiteballs coach Matthew Mott has a superb record with the Australian women’s team and Ponting believes the England team will also be in the running at the showpiece event.
“I actually think England are an exceptional white ball team and have an exceptional white ball setup,” Ponting said.
“I just think the three teams on paper that seem to have the most class and the most winners are India, Australia and England.”
The former skipper, however, believes Pakistan’s fate will depend on their skipper Babar Azam.
“If Babar doesn’t have a big tournament, I don’t think they can win,” Ponting said.
“I saw him up close and personal a few years ago here in a Test series against Australia and said it then, I thought the sky was the limit for this guy as far as the stick is concerned. test match (was concerned) and, if anything, he’s probably gotten better and better over the last couple of years.
“Their openers are very important and their new-ball bowlers are very important, but that spin bowler role in Australia might be a bit more difficult with wickets that probably won’t help them.”