The judge said it was unclear exactly how many instances there were but that it was obviously a "pattern of conduct".
"It seems it happened in a fairly routine way over a significant period," he said.
In 2009, the man's violence led to severe consequences for one of the children.
The defendant became angry they had not brushed their teeth and yelled at them to go back into the bathroom.
He pushed the 6-year-old in the chest, causing him to fall backwards and break his arm.
"The defendant took the victim to hospital, telling staff the victim had injured himself while jumping on his bed," a police summary said.
Judge Macdonald said the man did not intend to injure the boy, which was reflected by the conviction for injuring by unlawful act.
The defendant told police he had been angry at the time of the incident and took an "unjustifiable risk" by pushing the child.
Counsel Meg Scally argued convictions would stymie her client's potential progress in his career.
If he was to progress in his field, he would be expected to travel overseas and that would be severely hindered by a criminal record, she said.
Scally also told the court the man was keen to involve himself in his children's education and sporting pursuits.
Convictions would, to an extent, prevent that, too.
While the defendant said the deterioration of his relationship with the mother of the children had been the catalyst for some of the violence, Scally stressed that was merely context rather than an excuse.
Judge Macdonald ruled that the consequences the man faced as a result of convictions being entered did not outweigh the gravity of the offending.
He would not, for example, lose his job, the judge said.
He commended the defendant for the steps he had taken to apologise to his children and address his violent tendencies.
Judge Macdonald imposed six months' supervision.
