The council will stop mowing nearly 70 public grasslands in a bid to prune £150,000 from the grounds-upkeep bill.
A representative for the Liberal Democrat/SNP council said: "The grass-cutting budget savings of £150,000 had to be made across the city. Councillors identified areas in their wards where (this) could be stopped and areas where frequency of cuts could be reduced."
The representative added that areas where mowing was stopped would still receive a "periodic topping cut" annually or every second or third year depending on the site.
Council members also wanted to standardise housing and non-housing areas to a maximum of 14 cuts a year to produce a "nominal saving".
Labour councillor Gordon Graham said the grass was causing problems because it was growing too long, and children could no longer play in parks.