The 34-year-old batsman was hit on the wrist by a ball, struck by Michael Hussey on Saturday and was applied ice to the injury which is not believed to be serious.
Ponting re-joined his team-mates in the middle of the training ground and watched them closely, but did not undertake any further practice himself.
The skipper had major reconstructive surgery on the same wrist (right) in July last year after problems in the Caribbean.
A Cricket Australia spokesman said Ponting remains in Australia's plans for the warm-up match against Bangladesh at Trent Bridge.
"He's iced it, he's got a bandage on it, there's no worry with it whatsoever," the spokesman said.
"It's just a whack on the wrist basically ... it shouldn't be any issue at all."
Australia will play its second warm-up match against New Zealand at The Oval on Wednesday morning before opening its World Twenty20 campaign against the West Indies at the London ground on June 7.