The teenager, who cannot be named for legal reasons, entered the pleas on Tuesday, four years after the incident. Prosecutor Karen Ingleton told the court that the Director of Public Prosecutions did not accept the plea to the lesser charge.
According to a summary read to the court, the girl had been drinking before the stabbing at a gathering and was "significantly intoxicated." It is alleged that her father carried her out of the event and took her home, where she slept for a period of time.
"When she woke, the youth was angry and swearing. The source of her anger, or the reason for her anger, was not entirely clear," Ms Ingleton said.
The court heard that the teenager allegedly "launched at her father across the lounge room" with a kitchen knife. The knife was taken from her and triple-0 was called, but she allegedly retrieved another knife from the sink. "[The witness] observed the youth to pick up a knife from the sink and plunge it straight into [her father's] chest," the prosecutor said.
Police arrived shortly after and arrested the then 16-year-old.
The trial, which will be heard by a judge alone, is expected to begin later this week.