Do you know by who, when and where is Kindergarten invented?

It was invented in 1832. No, in 1892. No, I mean in 1960. It depends.

According to the wiki, Friedrich Fröbel opened the first kindergarten on 28 June 1840. Fröbel created the name and the term Kindergarten for the Play and Activity Institute, which he had founded in 1837 in the village of Bad Blankenburg, in the small, former principality of Schwarzburg-Rudolstadt, Thuringia, Germany. The first kindergarten in the United States was founded in Watertown, Wisconsin by Margarethe (Meyer) Schurz (wife of activist/statesman Carl Schurz) in 1856.

Mister Wright is correct and the first kindergarten In Australia was established by the government in 1902.