Van den Bosch was a descendant of the noble Van den Bosch family and a daughter of banker Johannes Hendrik Otto Count van den Bosch (1906–1994) and Benudina Maria Royaards (1912–1978), descendant of the Royaards family. She graduated in 1969 from the silversmiths department of the Academy of Fine Arts and Applied Arts in Arnhem and followed courses at the Gerrit Rietveld Academy in Amsterdam. Even before Van den Bosch graduated, her work was part of the traveling exhibition “Objects to wear” in the Van Abbemuseum in Eindhoven, which traveled through the Netherlands and the United States. Van den Bosch worked with metals such as aluminum, brass, copper, alpaca, stainless steel, silver and gold. She arrived at her sculptural forms by piercing and bending sheet material. Van den Bosch was co-founder of the Bond van Rebellious Goldsmiths (BOE) in 1974 together with Karel Niehorster, Onno Boekhoudt, Marion Herbst and the sculptor Berend Peter. The association was started as a result of the changes that had taken place in the jewelery world in the years earlier. BOE exhibited in London, among other places. Van den Bosch died unexpectedly at her home in Amsterdam at the age of thirty-three.
After her death her estate is represented by her family. The Francoise Den Bosch Foundation is dedicated to her work and stimulating young talent with a yearly award.