Mother who tried to murder her three children receives no jail time and allowed contact with her kids.

The mother had a “genuine belief” that death was the only way to relieve them and herself from what lay ahead.

"An ambulance transported you and your children to hospital immediately. By this time, your youngest child was unconscious," the judge said.

Justice Heath said the case was not "typical" and despite the victims being young children, there was no need for a sentence of imprisonment to be imposed.

"In rare cases, even for such a crime as attempted murder, a merciful sentence is required to take account of significant extenuating circumstances and diminished responsibility on the part of an offender.

"Indeed, it is much more desirable that a sentence be crafted to enable you to better manage the psychiatric disorder under which you labour. Society will not be at further risk provided you are treated properly."

The judge sentenced the woman to two years' intensive supervision, she must report to a probation officer at least once a week for the first three months of the sentence and at least once a month during the rest.

She now has access to her children again with supervised contact and according to the judge has made significant progress through weekly psychotherapy sessions.

For help: Lifeline 13 11 14. Kid's Helpline: 1800 55 1800. Men's helpline: 1300 78 99 78. Beyond Blue: 1800 222 4636.