Jacinda Ardern has urged people not to "jeopardise" the Grace Millane case by naming the man charged with the 22-year-old's murder.
The 26-year-old accused appeared in court yesterday charged with her murder and was granted a temporary ban on being publicly identified
The Prime Minister was questioned about New Zealand's name suppression laws at Parliament this afternoon.
"I think as the minister of justice says the suppression laws that we have in place at this point we need to make sure that they are abided by, we don't want anything to jeopardise the case that the police are pursuing," Ms Ardern said.
Her comments come after Justice Minister Andrew Little chastised overseas media for breaking the name suppression today.
"It will not do justice to the Millane family if the accused in this case gets to walk away from facing justice because somebody has disclosed his details," Mr Little said.
Earlier, police asked the public for help in locating a shovel they believe is related to the murder inquiry.
The shovel is described as an Atlas Trade Hardwood Long Handle Round Mouth Shovel.
Police would like to hear from anyone who may have found this item anytime after Monday December 3.
At this point police say they don't know where the shovel is.
They say it could be anywhere between the Scenic Drive and central Auckland areas.
Grace's body was found in a bush area on Scenic Drive, in the Waitakere Ranges, following an extensive search on Sunday.
Anyone with information about the investigation or the shovel is urged to call police on 0800 676 255.
- With AAP