Of the 252 incidents of child assault, 133 resulted in prosecution.
Of the "smacking'' and "minor acts of physical discipline'' events, 32 incidents were referred to Child, Youth and Family, 20 were referred to an inter-agency case management meeting, and six were referred to other support agencies.
There have been a total of eight prosecutions for smacking since the June 2007 law change.
Assistant police commissioner Malcolm Burgess said initial fears that good parents would be criminalised under the law continued to be proven wrong.
The police responses had been consistent over time and there had been an increased number of reports of child assault, and a slight increase in "smacking'' and "minor acts of physical discipline'' reports.
This suggested people had become increasingly comfortable telling police about such incidents, Mr Burgess said.
Police will not review the law again.