Melbourne homicide detectives are offering a million-dollar reward for information relating to the murder of Jenny Rose Ng in Richmond 36 years ago.

Ms Ng was found dead in her flat by her two daughters on April 23, 1982.

The girls, aged nine and seven at the time, had come home for lunch and found their 39-year-old mother dead on the loungeroom floor.

She had been stabbed multiple times. Their younger sister, 11 months, was found unharmed in her bassinette in their mum's bedroom.

Ms Ng was last seen alive that morning by her daughters and her 11-year-old son when she helped them get ready for school. She was separated from her husband at the time.

Detective Inspector Tim Day, in điều trị viêm nhiễm phụ khoa charge of the homicide squad, said on Sunday it was devastating for Ms Ng's children.

"We still don't know why Jenny was murdered and we're hoping that by announcing this reward today, we will get information that leads to detectives finding who is responsible," he said.

Det Insp Day believed there are still people who have information critical to this investigation.

"Detectives established that a male entered Jenny's flat approximately 10.30am on the day she was killed," he said.

"This is significant as investigators are confident that this person may have known Jenny and ultimately may have been involved in her murder.

"To date, this person has not been identified.

"They've had 36 years to live with this information and for it to sit on their conscience. Someone knows why this happened and who is responsible.

"I'm urging anyone with any information at all regarding the circumstances of Jenny Rose's death to come forward and tell us what you know."

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