More babies will die if the Tasmanian Government does not do more to prevent child abuse and neglect in Tasmania, a child protection advocacy group says.

Key points: A relative of the deceased baby writes to the Minister, asking him to show empathy

A relative of the deceased baby writes to the Minister, asking him to show empathy Advocates warn there will be more deaths without further investment in prevention

Advocates warn there will be more deaths without further investment in prevention The Government confirms it is investigating six serious cases

The warning comes after revelations another baby died while under the watch of child protection.

A relative of the four-month-old baby wrote to Human Services Minister Roger Jaensch, urging him not to sweep the death under the carpet.

Labor leader Rebecca White raised the death of the baby in Parliament on Thursday, saying the little girl had died in April and was known to child protection.

Ms White said medical professionals had raised urgent concerns about the child.

In a letter to Mr Jaensch on Thursday, the relative said she was seeking assurances that he was "across" the death of the child, which occurred while under the supervision of child protection.

She first wrote to Mr Jaensch in May, pleading for assistance.

The relative said she could not comprehend that Mr Jaensch did not contact her personally, or advise her that he was aware of the case and would monitor a review.

In the letter seen by the ABC, she wrote:

"That is all I wanted. "I'm not going away until I get a response from you and the Premier. "She is not something you can sweep under the carpet as an inconvenience or statistic. Please show some empathy."

National Association for Prevention of Child Abuse spokeswoman Trista Newitt said the Government was too focused on reacting to abuse once it had already happened.

"Basically we're saying we'll do something for kids when they're hurt or harmed and that's not good enough," she said.

"Much more effort needs to go into prevention strategies so children aren't hurt in the first place.

"Much greater investment needs to be done in the space of prevention and if we don't, unfortunately we're going to see more horrible stories like the ones we're seeing now," she said.

Government probing six serious cases

In Parliament, Ms White had asked Mr Jaensch if he was aware of the death, and whether the Serious Event Review Committee or Serious Event Review Team was investigating.

Roger Jaensch said he could not comment on individual cases. ( ABC News: Scott Ross )

Mr Jaensch said he could not comment on individual cases due to the Children, Young Persons and their Families Act.

He said the Serious Event Team always investigated cases resulting in serious injury or deaths.

Mr Jaensch later confirmed that the Serious Events and Review Committee was investigating six matters, four of which related to child deaths.

The baby's death came after a three-month-old-boy died in December, and an eight-year-old boy suffered severe burns in May last year.

Both were under the care of child protection's Intensive Family Engagement Service.

On Friday afternoon Mr Jaensch said he had spoken to the baby's relative.

"The death or injury of any child is tragic, and we have processes in place, where those families and those cases are known to Child Safety Services to investigate them thoroughly so we can learn from those cases and improve our processes where ever possible," he said.

