The call followed yesterday's conviction in the High Court in Auckland of Azees Mahomed, 31, for murdering and causing grievous bodily harm to his 11-week-old daughter Tahani.
Mahomed and his wife Tabbasum, 26, were also convicted of failing to provide the necessaries of life to Tahani.
They have been remanded in custody for sentencing next month.
Police bugged the South Auckland house of the couple after they refused to co-operate and tapes of them rehearsing lies about Tahani's injuries were a key part in their convictions.
On the tapes the couple discussed coaching their elder daughter so she did not make incriminating statements.
The use of listening devices to help win a conviction was welcomed by Parents Inc chief executive and Family Commissioner Bruce Pilbrow, and by John Sax, founder of For the Sake of Our Children trust.
"A kid was neglected and killed by two people and the police have proved and convicted them and justice has been done," Mr Pilbrow told The Dominion Post.
Mr Sax told the paper if bugging "helps bring about justice then that is fantastic".
"Good on police and if they need a court order to get permission to bug I think judges should be liberal in those sort of circumstances."
