A 21-year-old Lower Hutt mother accused of murdering her newborn daughter has made a brief appearance in court, where much of the proceedings have been suppressed.

The woman, who was arrested on Tuesday, was charged with murder after the baby's body was found at the back of a Taita property by a woman who was hanging out her washing last week.

The baby girl was wrapped in a towel.

In Lower Hutt District Court on Wednesday, Judge Carrie Wainwright bailed the woman to an address, which was suppressed, to next appear in two weeks' time.

Judge Wainwright also granted the woman interim name suppression.

The woman, who was listed as of no fixed abode, has been charged with murdering her baby on September 8, two days before the body was found.

Police said they had fully investigated the death before charging the woman with murder.