Andre, 37, was furious when he discovered three-year-old Princess' injury, and asked his lawyers to step in to demand an explanation when he could not get hold of Jordan, 32.
He then confronted her when she phoned their children while he looked after them, and she told him that Princess had hurt herself during a ski break.
She branded the incident a "fluke accident" and downplayed the wound as a "minor burn", and then tried to deflect blame by accusing Andre of using the incident as a "shameful" publicity stunt.
Outraged, Andre was also forced to deny claims he leaked the story about Princess to paint his ex as a bad mum.
Jordan released a public statement and took to Twitter to attack Pete.
"Princess has got a minor burn that she received in a fluke accident when she was in Klosters. That injury was seen to immediately. Princess is fine," the Daily Star quoted her as writing.
"My ex-husband was made aware of this incident when we returned. To have this incident appear in the press and garner a little publicity is quite shameful.
"I shielded him from blame when Harvey was badly burned while he looked after him. And people wonder why I insist he has specialist care on hand when he looks after him?" she stated.
But fuming Andre insisted the story about Princess' burn had not come from his camp.
"I was dealing with this privately. I won't be accused of using an accident to gain publicity. That's completely untrue," he stated.
"For the record, Princess came back from a skiing trip with a bad burn to her back. No one had contacted me to tell me.
"I tried to contact Kate but she didn't respond. I took Princess to our doctors and they dressed it there and then.
"Kate finally called and said I was making a big issue out of it.
I'm sorry but my daughter being burnt and me not being told about it immediately is a big issue," he added. (ANI)