In February last year the bodies of a four-year-old boy and a two-year-old girl were find in the bedroom of their Canley Heights home in Sydney next to their unconscious mother who had slashed her wrists.

A suicide note, blood-soaked razor, two cups containing green liquid were found alongside the bodies.

The mother, who cannot be named for legal reasons had pleaded not guilty for murdering her two children in February 2008 on the grounds of mental illness.

She claimed that she wanted to kill herself and her children because her husband had betrayed her.

In a judge-only trial, Justice Clifford Hoeben accepted the crown’s contention that while she was not guilty of murder, she was guilty of manslaughter.

He said that he was not persuaded that the extent of her mental illness was not so severe that she could not distinguish right from wrong at the time of the killings.

The woman told one psychiatrist that her husband had betrayed her with another woman that to the suicide attempt and to kill her children.

She allegedly said that she did not want to leave them behind.

Submissions for sentencing will be held on October 9.