In a letter to Ms Ardern, Mrs Tolley said she had spoken to Police Commissioner Peter Marshall about MPs' visits to police stations, which usually required a district commander to attend.
The minister said: "The summer period is an extremely busy time of year for the police as they prepare for potential operations over the Christmas period, increased traffic on our roads and an increased number of events across the country that require a police presence.
"For this reason the Police Commissioner has advised me that it is not a good use of police time to facilitate visits by members of Parliament during this period and that requests to visit will likely be declined."
Ms Ardern said Mrs Tolley had overstepped the mark.
"This is not about us politicising the police, it is about us doing our job."
Non-local MPs were expected to get permission from the relevant minister to make official visits to police stations. A police spokesman said it would be happy to arrange visits for MPs in the New Year.
Mrs Tolley's office said electorate MPs could arrange to visit police stations at any time without seeking ministerial permission.