They are also increasing the cost of pest control in other areas, putting up the cost of dealing with mice for those on council tax benefit from £60 to £75, a 22% increase.
Lib Dems have criticised the move saying it will cause more problems than it solves.
Lib Dem Environment spokesperson Councillor Mahmood Hussain said:
"This is a false economy. A growing rat population affects everyone. For every person that is put off reporting rats by this new charge, rats will spread further and faster across the Borough.
"Mice are a growing problem for residents too and it can often take two or three visits before they are cleared from your home, landing you with a bill of hundreds of pounds."
"Just like their u-turns over parking charges and the living wage last year, it wouldn't cost Labour much to reverse these bad decisions and back the priorities of residents."
Lib Dem Leader Councillor Bob Sullivan said:
"Lib Dems will be finding money in our alternative budget to show that the Labour council could cut charges for mice and keep the rat service free if they wanted to."