The Labour run authority says “sound financial management” is allowing the move.
A band D bill from April onwards will be £961 which will be the lowest in the country.
Some households will pay more as they are subject to a separate levy from the Wimbledon and Putney Commons Conservators.
The council is also increasing its Cost of Living support package to £15 million which is the most generous in London.
Writing to residents, Council Leader Simon Hogg says: “We are freezing your Council Tax this year. We are an ambitious and compassionate council, so our work does not stop here. Through sound financial management, we will lead a decade of renewal for our borough.
“Freezing Council Tax is one of the key things we can do to deliver a fairer, compassionate and more sustainable borough for everyone.”
“Wandsworth is a fantastic place to live. Together we will make sure everyone in Wandsworth has access to the opportunities our borough provides.”