The Botanical Gardens were transferred to the Console site (192 rue de Lausanne) in 1904, constructed by the Genevan architect Henri Juvet in 1902–1904 specifically to house the Delessert herbarium held at Bastions.

Then, in 1910–1911, the architect Henri Juvet built a Winter Garden along the former Chemin de Varembe, which was moved to its present location close to the railway lines following the construction of the Palais des Nations and the various associated urban redevelopments that took place.

It originally comprised two adjacent but separate sections: the Winter Garden and a greenhouse, creating an asymmetrical effect.

The entire garden, including greenhouses, libraries and collections, and two mansions "Le Chene" and "La Console", is registered as a cultural asset of national importance.

Although previously almost entirely organic, a bachelor student from the Haute École du paysage, d'ingénierie et d'architecture de Genève validated the requirements.